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 …

Birationally Rigid Fano Threefold Hypersurfaces Page 1 MEMOIRS of the American
Mathematical Society Volume 246 • Number 1167 (sixth of 6 numbers) • March 2017 Birationally …

We compute global log canonical thresholds of a large class of quasismooth well-formed del
Pezzo weighted hypersurfaces in ℙ (a 0, a 1, a 2, a 3). As a corollary we obtain the existence …

K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces Page 1 Forum of
Mathematics, Sigma (2023), Vol. 11:e93 1–114 doi:10.1017/fms.2023.87 RESEARCH …

We prove the existence of Kähler-Einstein metrics on a nonsingular section of the
Grassmannian Gr (2, 5)⊂ ℙ 9 by a linear subspace of codimension 3 and on the Fermat …

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 …

We prove that for every $\epsilon> 0$, there is a birationally super-rigid Fano variety $ X $
such that $\frac {1}{2}\leqslant\alpha (X)\leqslant\frac {1}{2}+\epsilon $. Also we show that for …

We compute global log canonical thresholds, or equivalently alpha invariants, of birationally
rigid Fano three-folds embedded in weighted projective spaces as codimension two or …

It is proved that the global log canonical threshold of a Zariski general Fano complete
intersection of index 1 and codimension k in\mathbb P^ M+ k PM+ k is equal to one, if …

arXiv:2210.14777v1 [math.AG] 26 Oct 2022 Page 1 arXiv:2210.14777v1 [math.AG] 26 Oct 2022
DEGREE OF IRRATIONALITY OF FANO THREEFOLD HYPERSURFACES IVAN CHELTSOV …