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1. Higher-Dimensional Algebraic Geometry | SpringerLink
springer.com
Link: https://link.springer.com/book/10.1007/978-1-4757-5406-3
Description: WebAbout this book. Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years.
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2. Olivier DEBARRE - IMJ-PRG
imj-prg.fr
Link: https://perso.imj-prg.fr/olivier-debarre/exposes-talks/
Description: Web[50] Degenerations of Debarre-Voisin varieties, Algebraic Geometry and Moduli Theory, Conference in honor of Shigeru Mukai, 京都市 Kyoto, 2019. [51] Gushel-Mukai varieties and their periods , The geometry of algebraic varieties, CIRM, Luminy, 2019 ; Peking University et Academy of Sciences, 北京 Beijing, 2019.
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3. Periods and moduli
slmath.org
Link: https://library.slmath.org/books/Book59/files/30debarre.pdf
Description: Web1. Attaching an abelian variety to an algebraic object 1.1. Curves. Given a smooth projective curve C of genus g, we have the Hodge decomposition H1.C;Z/ˆH1.C;C/DH0;1.C/ H1;0.C/; where the right side is a 2g-dimensional complex vector space and H1;0.C/D H0;1.C/. The g-dimensional complex torus J.C/DH0;1.C/=H1.C;Z/
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4. Olivier Debarre - Wikipedia
wikipedia.org
Link: https://en.m.wikipedia.org/wiki/Olivier_Debarre
Description: WebOlivier Debarre (born 1959) is a French mathematician who specializes in complex algebraic geometry. [1] From 1977 to 1981, Olivier Debarre attended the École Normale Supérieure (ENS) and he studied under Phillip Griffiths at Harvard University in 1981–1982.
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5. Higher-Dimensional Algebraic Geometry - Olivier Debarre
google.com
Link: https://books.google.com/books/about/Higher_Dimensional_Algebraic_Geometry.html?id=uarqBwAAQBAJ
Description: WebMar 9, 2013 · Olivier Debarre. Springer Science & Business Media, Mar 9, 2013 - Mathematics - 234 pages. Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties....
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6. Introduction to Algebraic Geometry - Stanford University
stanford.edu
Link: http://math.stanford.edu/~vakil/725/course.html
Description: WebThe description in the course guide: "Introduces the basic notions and techniques of modern algebraic geometry. Algebraic sets, Hilbert's Nullstellensatz and varieties over algebraically closed fields. We relate varieties over the complex numbers to complex analytic manifolds.
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7. Higher-Dimensional Algebraic Geometry | Semantic Scholar
semanticscholar.org
Link: https://www.semanticscholar.org/paper/Higher-Dimensional-Algebraic-Geometry-Debarre/dca8b9c057aab82f1e2285da32a58594be1b1d4a
Description: WebO. Debarre. Published 2001. Mathematics. Higher-dimensional algebraic geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has …
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8. Olivier Debarre - Google Scholar
google.com
Link: https://scholar.google.com/citations?user=NSEGWh8AAAAJ
Description: WebO Debarre, L Ein, R Lazarsfeld, C Voisin. Compositio Mathematica 147 (6), 1793-1818, 2011. 85: 2011: ... Recent advances in algebraic geometry 417, 123, 2015. 57: 2015: Sur les variétés abéliennes dont le diviseur thêta est singulier en codimension 3. O Debarre. 56: 1988: Hyper-Kähler manifolds.
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9. The geometry of algebraic varieties: special issue in honour
springer.com
Link: https://link.springer.com/article/10.1007/s00209-022-03012-9
Description: WebMar 7, 2022 · This special volume of Mathematische Zeitschrift is dedicated to Olivier Debarre, in recognition of his service to Mathematische Zeitschrift as its managing editor for 13 years, and in admiration of his many contributions to algebraic geometry. Author information. Authors and Affiliations.
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10. Higher-Dimensional Varieties - IMJ-PRG
imj-prg.fr
Link: https://perso.imj-prg.fr/olivier-debarre/wp-content/uploads/debarre-pub/Mexico2016.pdf
Description: WebAssuming that the reader is familiar with the basics of algebraic geometry (e.g., the contents of the book [H]), we present in these notes the necessary material (and a bit more) to understand Mori’s cone theorem. In Chapter 1, we review Weil and Cartier divisors and linear equivalence (this is covered in [H]).