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 …

The absolute regularity of a Fano variety, denoted by reg^(X), is the largest dimension of the
dual complex of a log Calabi–Yau structure on X. The absolute coregularity is defined to be …

Page 1 Mathematical Su rveys and Monograph 5 Volume 190 Birationally Rigid Varieties
Aleksandr Pukhlikov :‘ A ‘5. ilillll } "V ." ’i ai American Mathematical Society Page 2 Mathematical …

VV d1Á... Ádk F1 ÁÁÁ Fk r PM k, where Fi r PM k is a hypersurface of degree di f 2 and the
integers d1,..., dk satisfy the relation d1 ÁÁÁ dk M k (so that V is of index 1) are birationally …

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 …

We prove that a generic (in the sense of Zariski topology) Fano complete intersection V of
the type (d 1,⋯, dk) in ℙ M+ k, where d 1+⋯+ dk= M+ k, is birationally superrigid if M≥ 7, M≥ …

Cylinders in Fano varieties Page 1 HAL Id: hal-03429687 https://hal.science/hal-03429687
Submitted on 15 Nov 2021 HAL is a multi-disciplinary open access archive for the deposit and …

We give the first examples of smooth Fano and Calabi–Yau varieties violating the (narrow)
canonical strip hypothesis, which concerns the location of the roots of Hilbert polynomials of …

On RC varieties without smooth rational curves - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …