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@misc{bennig1988atomic,
	Author = {Bennig, G.K.},
	Date-Added = {2012-09-14 15:02:51 +0800},
	Date-Modified = {2012-09-14 15:02:51 +0800},
	Month = feb # {~9},
	Note = {US Patent 4,724,318},
	Publisher = {Google Patents},
	Title = {Atomic force microscope and method for imaging surfaces with atomic resolution},
	Year = {1988}}

@book{kittel1976introduction,
	Author = {Kittel, C. and McEuen, P.},
	Date-Added = {2012-09-14 15:01:59 +0800},
	Date-Modified = {2012-09-14 15:01:59 +0800},
	Publisher = {Wiley New York},
	Title = {Introduction to solid state physics},
	Volume = {7},
	Year = {1976}}

@book{maier2007plasmonics,
	Author = {Maier, S.A.},
	Date-Added = {2012-09-14 15:01:45 +0800},
	Date-Modified = {2012-09-14 15:01:45 +0800},
	Publisher = {Springer Verlag},
	Title = {Plasmonics: fundamentals and applications},
	Year = {2007}}

@article{2014arXiv1405.0115P,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {http://adsabs.harvard.edu/abs/2014arXiv1405.0115P},
	Archiveprefix = {arXiv},
	Author = {{Perri}, T. and {Rowen}, L.},
	Date-Added = {2014-05-07 08:14:51 +0000},
	Date-Modified = {2014-05-07 08:14:51 +0000},
	Eprint = {1405.0115},
	Journal = {ArXiv e-prints},
	Keywords = {Mathematics - Rings and Algebras, Mathematics - Algebraic Geometry},
	Month = may,
	Primaryclass = {math.RA},
	Title = {{Kernels in tropical geometry}},
	Year = {2014}}

@book{raether1988surface,
	Author = {Raether, H.},
	Date-Added = {2012-09-14 15:02:26 +0800},
	Date-Modified = {2012-09-14 15:02:26 +0800},
	Publisher = {Springer-Verlag Berlin},
	Title = {Surface plasmons},
	Year = {1988}}

@Misc{Tsai2011,
  author    = {Yen-lung Tsai},
  title     = {Working with Tropical Meromorphic Functions of One Variable},
  year      = {2011},
  eprint    = {arXiv:1101.2703},
  owner     = {Guava},
  timestamp = {2014.05.08},
}

@misc{math/0411504,
	Author = {Yen-lung Tsai and Eugene Z. Xia},
	Date-Added = {2014-05-07 08:28:05 +0000},
	Date-Modified = {2014-05-07 08:28:05 +0000},
	Eprint = {arXiv:math/0411504},
	Title = {Non-abelian Local Invariant Cycles},
	Year = {2004}}

@article{von1938elektronen,
	Author = {Von Ardenne, M.},
	Date-Added = {2012-09-14 15:04:29 +0800},
	Date-Modified = {2012-09-14 15:04:29 +0800},
	Journal = {Zeitschrift f{\"u}r Physik A Hadrons and Nuclei},
	Number = {9},
	Pages = {553--572},
	Publisher = {Springer},
	Title = {Das Elektronen-Rastermikroskop},
	Volume = {109},
	Year = {1938}}

@Book{芭樂2014,
  title         = {芭樂有限體},
  publisher     = {芭樂出版社},
  year          = {2014},
  author        = {陳芭樂},
  note          = {111},
  date-added    = {2014-04-13 16:56:29 +0000},
  date-modified = {2014-06-16 23:36:16 +0000},
}

@Article{2019arXiv190802803C,
  author        = {{Chen}, Nathan and {Stapleton}, David},
  title         = {{Fano hypersurfaces with arbitrarily large degrees of irrationality}},
  journal       = {arXiv e-prints},
  year          = {2019},
  pages         = {arXiv:1908.02803},
  month         = {Aug},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2019arXiv190802803C},
  archiveprefix = {arXiv},
  eid           = {arXiv:1908.02803},
  eprint        = {1908.02803},
  keywords      = {Mathematics - Algebraic Geometry, 14E05, 14J45},
  primaryclass  = {math.AG},
}

@Article{Yamagishi2019,
  author        = {{Yamagishi}, Ryo},
  title         = {{Four-dimensional conical symplectic hypersurfaces}},
  journal       = {arXiv e-prints},
  year          = {2019},
  pages         = {arXiv:1908.00684},
  month         = {Aug},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2019arXiv190800684Y},
  archiveprefix = {arXiv},
  eid           = {arXiv:1908.00684},
  eprint        = {1908.00684},
  keywords      = {Mathematics - Algebraic Geometry},
  primaryclass  = {math.AG},
}

@PhdThesis{chenwei2011,
  author     = {陳振偉},
  title      = {二維平滑熱帶環面法諾曲體之研究},
  school     = {國立政治大學},
  year       = {2011},
  address    = {台北市},
  abstract   = {這篇論文裡，我們研究熱帶環面曲體，尤其是熱帶環面法諾曲體。如同古典代數幾何裡的情況一樣，要建構熱帶環面曲體，我們先從扇型開始建構。然而在某些結構裡沒辦法有熱帶化的對應，因此我們需要選一個適當的定義，這個定義必需可看成是古典情況類推而來的。在我們的論文中，使用我們認為合適的定義，計算所有平滑二維熱帶環面法諾曲體的情況，結果也證實非常類似古典的情形。
In this thesis, we survey and study tropical toric varieties with focus on tropical toric Fano varieties. To construct tropical toric varieties, we start with fans, just like the situation in classical algebraic geometry. However, some constructions does not make sense in tropical settings. Therefore, we need to choose a reasonable definition which give an analogue of a classical toric variety. In the end of this paper, we use the definition we choose, and explicitly calculate all smooth two-dimensional tropical toric Fano varieties which we found are very similar to classical cases.},
  journal    = {應用數學系},
  pages      = {98},
  refid      = {100NCCU5507071},
  translator = {Chen, Chen Wei},
  url        = {https://hdl.handle.net/11296/f8v4n8},
  volume     = {碩士},
}

@Article{Mikhalkin2005,
  author     = {Mikhalkin, Grigory},
  title      = {Enumerative tropical algebraic geometry in {$\Bbb R^2$}},
  journal    = {J. Amer. Math. Soc.},
  year       = {2005},
  volume     = {18},
  number     = {2},
  pages      = {313--377},
  issn       = {0894-0347},
  doi        = {10.1090/S0894-0347-05-00477-7},
  fjournal   = {Journal of the American Mathematical Society},
  mrclass    = {14N10 (05A99 14N35 52B70)},
  mrnumber   = {2137980},
  mrreviewer = {Charles D. Cadman},
  url        = {https://doi.org/10.1090/S0894-0347-05-00477-7},
}

@Book{Maclagan2015,
  title      = {Introduction to tropical geometry},
  publisher  = {American Mathematical Society, Providence, RI},
  year       = {2015},
  author     = {Maclagan, Diane and Sturmfels, Bernd},
  volume     = {161},
  series     = {Graduate Studies in Mathematics},
  isbn       = {978-0-8218-5198-2},
  mrclass    = {14T05 (05B35 14M25 15A80 52B70)},
  mrnumber   = {3287221},
  mrreviewer = {Patrick Popescu-Pampu},
  pages      = {xii+363},
}

@InCollection{Richter-Gebert2005,
  author     = {Richter-Gebert, J\"{u}rgen and Sturmfels, Bernd and Theobald, Thorsten},
  title      = {First steps in tropical geometry},
  booktitle  = {Idempotent mathematics and mathematical physics},
  publisher  = {Amer. Math. Soc., Providence, RI},
  year       = {2005},
  volume     = {377},
  series     = {Contemp. Math.},
  pages      = {289--317},
  doi        = {10.1090/conm/377/06998},
  mrclass    = {14P99 (52B70 68W30)},
  mrnumber   = {2149011},
  mrreviewer = {Eugenii Shustin},
  url        = {https://doi.org/10.1090/conm/377/06998},
}

@InCollection{Mikhalkin2006,
  author     = {Mikhalkin, Grigory},
  title      = {Tropical geometry and its applications},
  booktitle  = {International {C}ongress of {M}athematicians. {V}ol. {II}},
  publisher  = {Eur. Math. Soc., Z\"{u}rich},
  year       = {2006},
  pages      = {827--852},
  mrclass    = {14P99 (14N10 14N35 52B20)},
  mrnumber   = {2275625},
  mrreviewer = {Jean-Yves Welschinger},
}

@Book{Itenberg2007,
  title      = {Tropical algebraic geometry},
  publisher  = {Birkh\"{a}user Verlag, Basel},
  year       = {2007},
  author     = {Itenberg, Ilia and Mikhalkin, Grigory and Shustin, Eugenii},
  volume     = {35},
  series     = {Oberwolfach Seminars},
  isbn       = {978-3-7643-8309-1; 3-7643-8309-7},
  mrclass    = {14P99 (14M25 14N10 14N35)},
  mrnumber   = {2292729},
  mrreviewer = {Susan J. Colley},
  pages      = {viii+103},
}

@InCollection{Mikhalkin2004,
  author     = {Mikhalkin, Grigory},
  title      = {Amoebas of algebraic varieties and tropical geometry},
  booktitle  = {Different faces of geometry},
  publisher  = {Kluwer/Plenum, New York},
  year       = {2004},
  volume     = {3},
  series     = {Int. Math. Ser. (N. Y.)},
  pages      = {257--300},
  doi        = {10.1007/0-306-48658-X_6},
  mrclass    = {14P25 (14N10 14N35)},
  mrnumber   = {2102998},
  mrreviewer = {Jean-Yves Welschinger},
  url        = {https://doi.org/10.1007/0-306-48658-X_6},
}

@Article{Gathmann2006,
  author     = {Gathmann, Andreas},
  title      = {Tropical algebraic geometry},
  journal    = {Jahresber. Deutsch. Math.-Verein.},
  year       = {2006},
  volume     = {108},
  number     = {1},
  pages      = {3--32},
  issn       = {0012-0456},
  fjournal   = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
  mrclass    = {14N10 (14A99 14P99)},
  mrnumber   = {2219706},
  mrreviewer = {Susan J. Colley},
}

@Article{Gathmann2008,
  author     = {Gathmann, Andreas and Kerber, Michael},
  title      = {A {R}iemann-{R}och theorem in tropical geometry},
  journal    = {Math. Z.},
  year       = {2008},
  volume     = {259},
  number     = {1},
  pages      = {217--230},
  issn       = {0025-5874},
  doi        = {10.1007/s00209-007-0222-4},
  fjournal   = {Mathematische Zeitschrift},
  mrclass    = {14C40 (14H99 51M20)},
  mrnumber   = {2377750},
  mrreviewer = {Joaquim Ro\'{e}},
  url        = {https://doi.org/10.1007/s00209-007-0222-4},
}

@Book{Itenberg2009,
  title     = {Tropical algebraic geometry},
  publisher = {Birkh\"{a}user Verlag, Basel},
  year      = {2009},
  author    = {Itenberg, Ilia and Mikhalkin, Grigory and Shustin, Eugenii},
  volume    = {35},
  series    = {Oberwolfach Seminars},
  edition   = {Second},
  isbn      = {978-3-0346-0047-7},
  doi       = {10.1007/978-3-0346-0048-4},
  mrclass   = {14T05 (14M25 14N10 14N35)},
  mrnumber  = {2508011},
  pages     = {x+104},
  url       = {https://doi.org/10.1007/978-3-0346-0048-4},
}

@Book{Speyer2005,
  title     = {Tropical geometry},
  publisher = {ProQuest LLC, Ann Arbor, MI},
  year      = {2005},
  author    = {Speyer, David E.},
  isbn      = {978-0542-29064-0},
  note      = {Thesis (Ph.D.)--University of California, Berkeley},
  mrclass   = {Thesis},
  mrnumber  = {2707751},
  pages     = {183},
  url       = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3187158},
}

@Article{Tsai2011a,
  author        = {{Tsai}, Yen-lung},
  title         = {{Working with Tropical Meromorphic Functions of One Variable}},
  journal       = {arXiv e-prints},
  year          = {2011},
  pages         = {arXiv:1101.2703},
  month         = {Jan},
  __markedentry = {[mathoffice:]},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2011arXiv1101.2703T},
  archiveprefix = {arXiv},
  eid           = {arXiv:1101.2703},
  eprint        = {1101.2703},
  keywords      = {Mathematics - Algebraic Geometry, Mathematics - Combinatorics, 14A10, 52B20, 30C15},
  primaryclass  = {math.AG},
}

@Comment{jabref-meta: databaseType:bibtex;}
