[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 …

Existence of minimal models for varieties of log general type

C Birkar, P Cascini, C Hacon, J McKernan - Journal of the American …, 2010 - ams.org
EXISTENCE OF MINIMAL MODELS FOR VARIETIES OF LOG GENERAL TYPE Contents 1.
Introduction 406 1.1. Minimal models 408 1.2. Moduli s Page 1 JOURNAL OF THE AMERICAN …

[HTML][HTML] Moduli spaces of weighted pointed stable curves

B Hassett - Advances in Mathematics, 2003 - Elsevier
A weighted pointed curve consists of a nodal curve and a sequence of marked smooth
points, each assigned a number between zero and one. A subset of the marked points may …

Log canonical models for the moduli space of curves: the first divisorial contraction

B Hassett, D Hyeon - Transactions of the American Mathematical Society, 2009 - ams.org
In this paper, we initiate our investigation of log canonical models for $(\overline {\mathcal
{M}} _g,\alpha\delta) $ as we decrease $\alpha $ from 1 to 0. We prove that for the first …

Off-shell partition functions in 3d gravity

L Eberhardt - Communications in Mathematical Physics, 2024 - Springer
We explore three-dimensional gravity with negative cosmological constant via canonical
quantization. We focus on chiral gravity which is related to a single copy of PSL (2, R) Chern …

Hilbert's 14th problem and Cox rings

AM Castravet, J Tevelev - Compositio Mathematica, 2006 - cambridge.org
Our main result is the description of generators of the total coordinate ring of the blow-up of
in any number of points that lie on a rational normal curve. As a corollary we show that the …

is not a Mori dream space

AM Castravet, J Tevelev - 2015 - projecteuclid.org
M0,n is not a Mori dream space Page 1 M0;n IS NOT A MORI DREAM SPACE ANA-MARIA
CASTRAVET and JENIA TEVELEV Abstract Building on the work of Goto, Nishida, and …

[图书][B] Koszul cohomology and algebraic geometry

M Aprodu, J Nagel - 2010 - books.google.com
The systematic use of Koszul cohomology computations in algebraic geometry can be
traced back to the foundational work of Mark Green in the 1980s. Green connected classical …

The Kodaira dimension of moduli spaces of curves with marked points

A Logan - American Journal of Mathematics, 2003 - muse.jhu.edu
The purpose of this paper is to generalize the methods and results due to Eisenbud, Harris,
and Mumford on the moduli space of curves of genus g to the moduli space of curves of …

Existence of minimal models for varieties of log general type II

CD Hacon, J McKernan - Journal of the American Mathematical Society, 2010 - JSTOR
EXISTENCE OF MINIMAL MODELS FOR VARIETIES OF LOG GENERAL TYPE II Page 1
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 23, Number 2, April …