Fundamental algebraic geometry: Grothendieck's FGA explained
MAAP Books, M Bookshelf, S Copied - Mathematical surveys and …, 2005 - ams.org
Alexander Grothendieck's concepts turned out to be astoundingly powerful and productive,
truly revolutionizing algebraic geometry. He sketched his new theories in talks given at the …
truly revolutionizing algebraic geometry. He sketched his new theories in talks given at the …
[图书][B] Calabi-Yau manifolds and related geometries: lectures at a summer school in Nordfjordeid, Norway, June 2001
M Gross, D Huybrechts, D Joyce - 2012 - books.google.com
This is an introduction to a very active field of research, on the boundary between
mathematics and physics. It is aimed at graduate students and researchers in geometry and …
mathematics and physics. It is aimed at graduate students and researchers in geometry and …
Flops and derived categories
T Bridgeland - arXiv preprint math/0009053, 2000 - arxiv.org
This paper contains some applications of Fourier-Mukai techniques to the birational
geometry of threefolds. In particular, we prove that birational Calabi-Yau threefolds have …
geometry of threefolds. In particular, we prove that birational Calabi-Yau threefolds have …
Non-commutative crepant resolutions
M Van den Bergh - The Legacy of Niels Henrik Abel: The Abel …, 2004 - Springer
We introduce the notion of a “non-commutative crepant” resolution of a singularity and show
that it exists in certain cases. We also give some evidence for an extension of a conjecture …
that it exists in certain cases. We also give some evidence for an extension of a conjecture …
Geometry on arc spaces of algebraic varieties
J Denef, F Loeser - European Congress of Mathematics: Barcelona, July …, 2001 - Springer
Geometry on Arc Spaces of Algebraic Varieties Page 1 Geometry on Arc Spaces of Algebraic
Varieties Jan Denef and Fran<;ois Loeser Abstract. This paper is a survey on arc spaces, a …
Varieties Jan Denef and Fran<;ois Loeser Abstract. This paper is a survey on arc spaces, a …
[PDF][PDF] Motivic measures
E Looijenga - ASTERISQUE-SOCIETE MATHEMATIQUE DE …, 2002 - numdam.org
An n-jet of an arc in an algebraic variety is a one parameter Taylor series of length n in that
variety. To be precise, if the variety X is defined over the algebraically closed field k, then it is …
variety. To be precise, if the variety X is defined over the algebraically closed field k, then it is …
[HTML][HTML] Geometric transitions
M Rossi - Journal of Geometry and Physics, 2006 - Elsevier
Geometric transitions - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals
& Books Search RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier …
& Books Search RegisterSign in View PDF Download full issue Search ScienceDirect Elsevier …
Small resolutions of SU (5)-models in F-theory
M Esole, ST Yau - 2013 - projecteuclid.org
We provide an explicit desingularization and study the resulting fiber geometry of elliptically
fibered four-folds defined by Weierstrass models admitting a split ̃A_4 singularity over a …
fibered four-folds defined by Weierstrass models admitting a split ̃A_4 singularity over a …
Integration in valued fields
E Hrushovski, D Kazhdan - Algebraic Geometry and Number Theory: In …, 2006 - Springer
We develop a theory of integration over valued fields of residue characteristic zero. In
particular, we obtain new and base-field independent foundations for integration over local …
particular, we obtain new and base-field independent foundations for integration over local …
[PDF][PDF] La correspondance de McKay
M Reid - Asterisque-Societe Mathematique de France, 2002 - numdam.org
La correspondance de McKay Page 1 Astérisque MILES REID La correspondance de
McKay Astérisque, tome 276 (2002), Séminaire Bourbaki, exp. no 867, p. 53-72 <http://www.numdam.org/item?id=SB_1999-2000__42__53_0> …
McKay Astérisque, tome 276 (2002), Séminaire Bourbaki, exp. no 867, p. 53-72 <http://www.numdam.org/item?id=SB_1999-2000__42__53_0> …