[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 …
Fano–Mukai fourfolds of genus 10 as compactifications of
Y Prokhorov, M Zaidenberg - European Journal of Mathematics, 2018 - Springer
It is known that the moduli space of smooth Fano–Mukai fourfolds V_ 18 V 18 of genus 10
has dimension one. We show that any such fourfold is a completion of C^ 4 C 4 in two …
has dimension one. We show that any such fourfold is a completion of C^ 4 C 4 in two …
Deformations of elliptic Calabi-Yau manifolds
J Kollár - Recent advances in algebraic geometry, 2015 - books.google.com
We investigate deformations and characterizations of elliptic Calabi–Yau varieties, building
on earlier works of Wilson and Oguiso. We show that if the second cohomology of the …
on earlier works of Wilson and Oguiso. We show that if the second cohomology of the …
Cylinders in Fano varieties.
Cylinders in Fano varieties Page 1 EMS Surv. Math. Sci. 8 (2021), 39–105 DOI 10.4171/EMSS/44
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
© 2021 European Mathematical Society Published by EMS Press This work is licensed under …
Examples of cylindrical Fano fourfolds
Y Prokhorov, M Zaidenberg - European Journal of Mathematics, 2016 - Springer
We construct four different families of smooth Fano fourfolds with Picard rank 1, which
contain cylinders, ie, Zariski open subsets of the form Z * A^ 1 Z× A 1, where Z is a …
contain cylinders, ie, Zariski open subsets of the form Z * A^ 1 Z× A 1, where Z is a …
Flexibility of Affine cones over Mukai fourfolds of genus
We show that the affine cones over a general Fano-Mukai fourfold of genus $ g= 7$, $8 $
and $9 $ are flexible. Equivalently, there is an infinitely transitive action of the special …
and $9 $ are flexible. Equivalently, there is an infinitely transitive action of the special …
[PDF][PDF] The affine cones over Fano-Mukai fourfold of genus are flexible
arXiv:2304.02293v1 [math.AG] 5 Apr 2023 Page 1 arXiv:2304.02293v1 [math.AG] 5 Apr 2023
THE AFFINE CONES OVER FANO-MUKAI FOURFOLD OF GENUS 7 ARE FLEXIBLE …
THE AFFINE CONES OVER FANO-MUKAI FOURFOLD OF GENUS 7 ARE FLEXIBLE …
[图书][B] Complex Algebraic Threefolds
M Kawakita - 2023 - books.google.com
The first book on the explicit birational geometry of complex algebraic threefolds arising from
the minimal model program, this text is sure to become an essential reference in the field of …
the minimal model program, this text is sure to become an essential reference in the field of …
Fano 4-folds with are products of surfaces
C Casagrande - Inventiones mathematicae, 2024 - Springer
Let X be a smooth, complex Fano 4-fold, and ρ X its Picard number. We show that if ρ X> 12,
then X is a product of del Pezzo surfaces. The proof relies on a careful study of divisorial …
then X is a product of del Pezzo surfaces. The proof relies on a careful study of divisorial …
Quasi-elementary contractions of Fano manifolds
C Casagrande - Compositio Mathematica, 2008 - cambridge.org
Let X be a smooth complex Fano variety. We study 'quasi-elementary'contractions of fiber
type of X, which are a natural generalization of elementary contractions of fiber type. If f: X→ …
type of X, which are a natural generalization of elementary contractions of fiber type. If f: X→ …