[图书][B] Families of varieties of general type
J Kollár - 2023 - books.google.com
This book establishes the moduli theory of stable varieties, giving the optimal approach to
understanding families of varieties of general type. Starting from the Deligne-Mumford theory …
understanding families of varieties of general type. Starting from the Deligne-Mumford theory …
Moduli of boundary polarized Calabi-Yau pairs
We develop the moduli theory of boundary polarized CY pairs, which are slc Calabi-Yau
pairs $(X, D) $ such that $ D $ is ample. The motivation for studying this moduli problem is to …
pairs $(X, D) $ such that $ D $ is ample. The motivation for studying this moduli problem is to …
K-stability of Fano varieties: an algebro-geometric approach
C Xu - EMS Surveys in Mathematical Sciences, 2021 - content.ems.press
K-stability of Fano varieties: an algebro-geometric approach Page 1 EMS Surv. Math. Sci. 8 (2021),
265–354 DOI 10.4171/EMSS/51 © 2021 European Mathematical Society Published by EMS …
265–354 DOI 10.4171/EMSS/51 © 2021 European Mathematical Society Published by EMS …
Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira dimension
S Kovács, Z Patakfalvi - Journal of the American Mathematical Society, 2017 - ams.org
Projectivity of the moduli space of stable log-varieties and subadditivity of log-Kodaira
dimension Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 30 …
dimension Page 1 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 30 …
Singular K\" ahler-Einstein metrics and RCD spaces
G Székelyhidi - arXiv preprint arXiv:2408.10747, 2024 - arxiv.org
arXiv:2408.10747v1 [math.DG] 20 Aug 2024 Page 1 arXiv:2408.10747v1 [math.DG] 20 Aug
2024 SINGULAR KAHLER-EINSTEIN METRICS AND RCD SPACES GÁBOR SZÉKELYHIDI …
2024 SINGULAR KAHLER-EINSTEIN METRICS AND RCD SPACES GÁBOR SZÉKELYHIDI …
Generalised pairs in birational geometry
C Birkar - EMS Surveys in Mathematical Sciences, 2021 - ems.press
Generalised pairs in birational geometry Page 1 EMS Surv. Math. Sci. 8 (2021), 5–24 DOI
10.4171/EMSS/42 © 2021 European Mathematical Society Published by EMS Press This work …
10.4171/EMSS/42 © 2021 European Mathematical Society Published by EMS Press This work …
[PDF][PDF] Families of varieties of general type
J Kollár - Preprint, 2017 - math.princeton.edu
The aim of this book is to generalize the moduli theory of algebraic curves—developed by
Riemann, Klein, Teichmüller, Mumford and Deligne—to higher dimensional algebraic …
Riemann, Klein, Teichmüller, Mumford and Deligne—to higher dimensional algebraic …
Boundedness of elliptic Calabi–Yau varieties with a rational section
C Birkar, G Di Cerbo, R Svaldi - Journal of Differential Geometry, 2024 - projecteuclid.org
We show that for each fixed dimension $ d\geq 2$, the set of $ d $-dimensional klt elliptic
varieties with numerically trivial canonical bundle is bounded up to isomorphism in …
varieties with numerically trivial canonical bundle is bounded up to isomorphism in …
Moduli of algebraic varieties
C Birkar - arXiv preprint arXiv:2211.11237, 2022 - arxiv.org
We develop a moduli theory of algebraic varieties and pairs of non-negative Kodaira
dimension. We define stable minimal models and construct their projective coarse moduli …
dimension. We define stable minimal models and construct their projective coarse moduli …
Geometry of polarised varieties
C Birkar - Publications mathématiques de l'IHÉS, 2023 - Springer
In this paper, we investigate the geometry of projective varieties polarised by ample and
more generally nef and big Weil divisors. First we study birational boundedness of linear …
more generally nef and big Weil divisors. First we study birational boundedness of linear …