Motive (algebraic geometry)

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Motive (algebraic geometry)

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* {{Citation | last1=Beilinson | first1=Alexander | author1-link = Alexander Beilinson | first2 = Vadim | last2=Vologodsky | title=A DG guide to Voevodsky's motives | year=2007 | page=4004 | url=http://www.math.uiuc.edu/K-theory/0832/ |arxiv = math/0604004 | bibcode=2006math......4004B }} (technical introduction with comparatively short proofs)
* {{Citation | last1=Beilinson | first1=Alexander | author1-link = Alexander Beilinson | first2 = Vadim | last2=Vologodsky | title=A DG guide to Voevodsky's motives | year=2007 | page=4004 | url=http://www.math.uiuc.edu/K-theory/0832/ |arxiv = math/0604004 | bibcode=2006math......4004B }} (technical introduction with comparatively short proofs)
*[https://www.jmilne.org/math/articles/1994aP.pdf Motives over Finite Fields] - J.S. Milne
*[https://www.jmilne.org/math/articles/1994aP.pdf Motives over Finite Fields] - J.S. Milne
* {{Citation | last1=Mazur | first1=Barry |editor-link=Barry Mazur | title=What is ... a motive? |mr=2104916 | year=2004 | journal=Notices of the American Mathematical Society | issn=0002-9920 | volume=51 | issue=10 | pages=1214–1216 | url=https://www.ams.org/notices/200410/what-is.pdf}} (motives-for-dummies text).
* {{Citation | last1=Mazur | first1=Barry |author-link=Barry Mazur | title=What is ... a motive? |mr=2104916 | year=2004 | journal=Notices of the American Mathematical Society | issn=0002-9920 | volume=51 | issue=10 | pages=1214–1216 | url=https://www.ams.org/notices/200410/what-is.pdf}} (motives-for-dummies text).
* {{Citation | last1=Serre | first1=Jean-Pierre | title=Motifs |mr=1144336 | year=1991 | journal=Astérisque | issn=0303-1179 | issue=198 | pages=11, 333–349 (1992) | url=http://www.numdam.org/article/AST_1991__198-199-200__333_0.pdf | archive-url=https://web.archive.org/web/20220110212613/http://www.numdam.org/article/AST_1991__198-199-200__333_0.pdf | archive-date=2022-01-10 | language=French}} (high-level introduction to motives in French).
* {{Citation | last1=Serre | first1=Jean-Pierre | title=Motifs |mr=1144336 | year=1991 | journal=Astérisque | issn=0303-1179 | issue=198 | pages=11, 333–349 (1992) | url=http://www.numdam.org/article/AST_1991__198-199-200__333_0.pdf | archive-url=https://web.archive.org/web/20220110212613/http://www.numdam.org/article/AST_1991__198-199-200__333_0.pdf | archive-date=2022-01-10 | language=French}} (high-level introduction to motives in French).
* {{Citation | last=Tabauda | first=Goncalo | title=A guided tour through the garden of noncommutative motives | url=https://faculty.math.illinois.edu/K-theory/1007/ | journal=Journal of K-theory| year=2011 | arxiv=1108.3787 }}
* {{Citation | last=Tabauda | first=Goncalo | title=A guided tour through the garden of noncommutative motives | url=https://faculty.math.illinois.edu/K-theory/1007/ | journal=Journal of K-theory| year=2011 | arxiv=1108.3787 }}
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