Results 11 to 20 of about 46 (46)
FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY
Forum of Mathematics, Sigma, 2020 We show that complex Fano hypersurfaces can have arbitrarily large degrees of irrationality. More precisely, if we fix a Fano index $e$, then the degree of irrationality of a very general complex Fano hypersurface of index $e$ and dimension n is bounded ...
NATHAN CHEN, DAVID STAPLETON
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Hyper-K\"ahler Fourfolds Fibered by Elliptic Products [PDF]
Épijournal de Géométrie Algébrique, 2018 Every fibration of a projective hyper-K\"ahler fourfold has fibers which are Abelian surfaces. In case the Abelian surface is a Jacobian of a genus two curve, these have been classified by Markushevich. We study those cases where the Abelian surface is a
Ljudmila Kamenova
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Conic bundles that are not birational to numerical Calabi--Yau pairs [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a general conic bundle over the projective plane with branch curve of degree at least 19. We prove that there is no normal projective variety $Y$ that is birational to $X$ and such that some multiple of its anticanonical divisor is effective ...
János Kollár
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Algebraic models of the Euclidean plane [PDF]
Épijournal de Géométrie Algébrique, 2018 We introduce a new invariant, the real (logarithmic)-Kodaira dimension, that allows to distinguish smooth real algebraic surfaces up to birational diffeomorphism.
Jérémy Blanc, Adrien Dubouloz
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On $G$-birational rigidity of del Pezzo surfaces [PDF]
Épijournal de Géométrie AlgébriqueLet $G$ be a finite group and $H\subseteq G$ be its subgroup. We prove that if a smooth del Pezzo surface over an algebraically closed field is $H$-birationally rigid then it is also $G$-birationally rigid, answering a geometric version of Koll\'{a}r's ...
Egor Yasinsky
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Birationally rigid Fano-Mori fibre spaces
Forum of Mathematics, SigmaIn this paper, we prove the birational rigidity of Fano-Mori fibre spaces $\pi \colon V\to S$ , every fibre of which is a Fano complete intersection of index 1 and codimension $k\geqslant 3$ in the projective space ${\mathbb P}^{M+k}$
Aleksandr Pukhlikov
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Veterinary Dermatology, Volume 36, Issue 5, Page 613-620, October 2025.Abstract Background Diff‐Quik (DQ) staining is widely used in clinical practice for its ease of use and rapid results. However, its potential contamination remains a concern. Hypothesis/Objectives This study aimed to investigate DQ solution contamination in veterinary hospitals and identify factors affecting it through a questionnaire on stain usage ...
Minji Cho, Seulgi Bae
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Boundedness of slc degenerations of polarized log Calabi–Yau pairs
Forum of Mathematics, SigmaGiven a family of pairs over a smooth curve whose general fiber is a log Calabi–Yau pair in a fixed bounded family, suppose there exists a divisor on the family whose restriction on a general fiber is ample with bounded volume.
Junpeng Jiao
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Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos +5 more
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On K-stability of One-nodal Prime Fano Threefolds of Genus 12
A preprint version of the article is available at arXiv:2506.17649v2 [math.AG], https://arxiv.org/abs/2506.17649 ([v2] Fri, 10 Oct 2025 21:53:54 UTC (59 KB)), under a CC BY license (https://creativecommons.org/licenses/by/4.0/). It has not been certified
Denisova, E, Kaloghiros, A-S
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