Log canonical thresholds of smooth Fano threefolds
IA Cheltsov, KA Shramov - Russian Mathematical Surveys, 2008 - iopscience.iop.org
The complex singularity exponent is a local invariant of a holomorphic function determined
by the integrability of fractional powers of the function. The log canonical thresholds of …
by the integrability of fractional powers of the function. The log canonical thresholds of …
[图书][B] The Calabi problem for Fano threefolds
C Araujo, AM Castravet, I Cheltsov, K Fujita… - 2023 - books.google.com
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds
are a fundamental subclass that can be thought of as higher-dimensional generalizations of …
are a fundamental subclass that can be thought of as higher-dimensional generalizations of …
[PDF][PDF] The Calabi problem for Fano threefolds
C Araujo, AM Castravet, I Cheltsov, K Fujita… - MPIM Preprint …, 2021 - maths.ed.ac.uk
There are 105 irreducible families of smooth Fano threefolds, which have been classified by
Iskovskikh, Mori and Mukai. For each family, we determine whether the general member …
Iskovskikh, Mori and Mukai. For each family, we determine whether the general member …
[PDF][PDF] Fano threefolds with infinite automorphism groups
One of the most important results obtained by Iskovskikh is a classification of smooth Fano
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …
threefolds of Picard rank 1 (see [Is77],[Is78]). In fact, he was the one who introduced the …
Finite collineation groups and birational rigidity
I Cheltsov, C Shramov - Selecta Mathematica, 2019 - Springer
Finite collineation groups and birational rigidity | SpringerLink Skip to main content
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Advertisement SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …
Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations
C Araujo, A Corti, A Massarenti - arXiv preprint arXiv:2306.00207, 2023 - arxiv.org
We develop a framework that allows one to describe the birational geometry of Calabi-Yau
pairs $(X, D) $. After establishing some general results for Calabi-Yau pairs $(X, D) $ with …
pairs $(X, D) $. After establishing some general results for Calabi-Yau pairs $(X, D) $ with …
A view on contractions of higher dimensional varieties
M Andreatta, J Wisniewski - Proceedings of Symposia in Pure …, 1997 - books.google.com
Introduction. In this paper we discuss some recent results about maps of complex algebraic
varieties. A contraction p: X→ Z is a proper surjective map of normal varieties with connected …
varieties. A contraction p: X→ Z is a proper surjective map of normal varieties with connected …
On contractions of smooth varieties
M Andreatta, JA Wiśniewski - arXiv preprint alg-geom/9605013, 1996 - arxiv.org
Let $\f: X\ra Z $ be a proper surjective map from a smooth complex manifold $ X $ onto a
normal variety $ Z $. If $\f $ has connected fibers and $-K_X $ is $\f $-ample then $\f $ is …
normal variety $ Z $. If $\f $ has connected fibers and $-K_X $ is $\f $-ample then $\f $ is …
Global Frobenius liftability II: surfaces and Fano threefolds
P Achinger, J Witaszek, M Zdanowicz - arXiv preprint arXiv:2102.02788, 2021 - arxiv.org
In this article, a sequel to" Global Frobenius Liftability I"(math: 1708: 03777v2), we continue
the development of a comprehensive theory of Frobenius liftings modulo $ p^ 2$. We study …
the development of a comprehensive theory of Frobenius liftings modulo $ p^ 2$. We study …
Fano bundles and splitting theorems on projective spaces and quadrics.
V Ancona, T Peternell, JA Wiśniewski - 1994 - msp.org
Introduction. In this paper rank 2 vector bundles E on projective spaces Ψn and quadrics Qn
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are …
are investigated which enjoy the additional property that their projectized bundles Ψ (E) are …