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Titlebook: Interactions with Lattice Polytopes; Magdeburg, Germany, Alexander M. Kasprzyk,Benjamin Nill Conference proceedings 2022 Springer Nature S

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书目名称Interactions with Lattice Polytopes
副标题Magdeburg, Germany,
编辑Alexander M. Kasprzyk,Benjamin Nill
视频videohttp://file.papertrans.cn/471/470460/470460.mp4
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Interactions with Lattice Polytopes; Magdeburg, Germany,  Alexander M. Kasprzyk,Benjamin Nill Conference proceedings 2022 Springer Nature S
描述This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics..
出版日期Conference proceedings 2022
关键词Toric degeneration; Optimization; Convex body; Toric variety; Ehrhard polynomial; Newton-Okounkov body; Se
版次1
doihttps://doi.org/10.1007/978-3-030-98327-7
isbn_softcover978-3-030-98329-1
isbn_ebook978-3-030-98327-7Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer Nature Switzerland AG 2022
The information of publication is updating

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Milena Pabiniakand bone replacement..Addresses the issues involved with using solid freeform fabrication/rapid prototyping/layered manufacturing that is becoming very important in the biomaterials area..Discusses the emergenc978-0-387-47683-4
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Andrea Petracciand bone replacement..Addresses the issues involved with using solid freeform fabrication/rapid prototyping/layered manufacturing that is becoming very important in the biomaterials area..Discusses the emergenc978-0-387-47683-4
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s whose graded maximal ideal has a linear resolution. Unless this graded ring is a polynomial ring, this resolution is infinite. We discuss various necessary and sufficient conditions for Koszulness. The methods involved include Gröbner bases and Koszul filtrations.
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