[图书][B] Positivity in algebraic geometry I: Classical setting: line bundles and linear series
RK Lazarsfeld - 2017 - books.google.com
This two volume work on Positivity in Algebraic Geometry contains a contemporary account
of a body of work in complex algebraic geometry loosely centered around the theme of …
of a body of work in complex algebraic geometry loosely centered around the theme of …
[图书][B] Rational curves on algebraic varieties
J Kollár - 2013 - books.google.com
The aim of this book is to provide an introduction to the structure theory of higher
dimensional algebraic varieties by studying the geometry of curves, especially rational …
dimensional algebraic varieties by studying the geometry of curves, especially rational …
[图书][B] Higher-dimensional algebraic geometry
O Debarre - 2001 - Springer
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 …
varieties. This very active area of research is still developing, but an amazing quantity of …
Rational connectedness and boundedness of Fano manifolds
J Kollár, Y Miyaoka, S Mori - Journal of Differential Geometry, 1992 - projecteuclid.org
Fano manifolds are, by definition, smooth projective varieties with ample first Chern class (=
anticanonical class). They are of special interest from the viewpoint of classification theory …
anticanonical class). They are of special interest from the viewpoint of classification theory …
[图书][B] The adjunction theory of complex projective varieties
MC Beltrametti, AJ Sommese - 2011 - books.google.com
Page 1 DE GRUYTER Mauro C. Beltrametti, Andrew J. Sommese THE ADJUNCTION THEORY
OF COMPLEX PROJECTIVE VARIETIES DE GRUYTER EXPOSITIONS IN MATHEMATICS DE G …
OF COMPLEX PROJECTIVE VARIETIES DE GRUYTER EXPOSITIONS IN MATHEMATICS DE G …
Globally F-regular and log Fano varieties
We prove that every globally F-regular variety is log Fano. In other words, if a prime
characteristic variety X is globally F-regular, then it admits an effective Q-divisor Δ such that …
characteristic variety X is globally F-regular, then it admits an effective Q-divisor Δ such that …
Is trust an epistemological notion?
G Origgi - Episteme, 2004 - cambridge.org
Knowledge is a collective good. Only a small part of our knowledge of the world is generated
by our own personal experience. Relying on what others say is one of the most fundamental …
by our own personal experience. Relying on what others say is one of the most fundamental …
[图书][B] Geometry of higher dimensional algebraic varieties
Y Miyaoka, T Peternell - 1997 - Springer
This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung
held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the …
held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the …
Chern numbers for singular varieties and elliptic homology
B Totaro - Annals of Mathematics, 2000 - JSTOR
A fundamental goal of algebraic geometry is to do for singular varieties whatever we can do
for smooth ones. Intersection homology, for example, directly produces groups associated to …
for smooth ones. Intersection homology, for example, directly produces groups associated to …
[HTML][HTML] Building blocks of polarized endomorphisms of normal projective varieties
An endomorphism f of a projective variety X is polarized (resp. quasi-polarized) if f⁎ H∼ q H
(linear equivalence) for some ample (resp. nef and big) Cartier divisor H and integer q> 1 …
(linear equivalence) for some ample (resp. nef and big) Cartier divisor H and integer q> 1 …