Results 1 to 10 of about 63 (63)
An atlas of K3 surfaces with finite automorphism group [PDF]
Épijournal de Géométrie Algébrique, 2022 We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space.
Xavier Roulleau
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$G$-fixed Hilbert schemes on $K3$ surfaces, modular forms, and eta products [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be a complex $K3$ surface with an effective action of a group $G$ which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorname{Hilb}^{n}(X)^{G} \right)\, q^{n-1} $$ be the generating function for ...
Jim Bryan, Ádám Gyenge
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Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields
Forum of Mathematics, Pi, 2022 Given a K3 surface X over a number field K with potentially good reduction everywhere, we prove that the set of primes of K where the geometric Picard rank jumps is infinite.
Ananth N. Shankar +3 more
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A gluing construction of projective K3 surfaces [PDF]
Épijournal de Géométrie Algébrique, 2022 We construct a non-Kummer projective K3 surface $X$ which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective plane
Takayuki Koike, Takato Uehara
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Finite subgroups of automorphisms of K3 surfaces
Forum of Mathematics, Sigma, 2023 We give a complete classification of finite subgroups of automorphisms of K3 surfaces up to deformation. The classification is in terms of Hodge theoretic data associated to certain conjugacy classes of finite subgroups of the orthogonal group of the K3 ...
Simon Brandhorst, Tommy Hofmann
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Curves on K3 surfaces in divisibility 2
Forum of Mathematics, Sigma, 2021 We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2.
Younghan Bae, Tim-Henrik Buelles
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CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture
Forum of Mathematics, Sigma, 2021 We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of $K3$ surfaces over finite fields.
Kazuhiro Ito +2 more
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Remarks on the positivity of the cotangent bundle of a K3 surface [PDF]
Épijournal de Géométrie Algébrique, 2020 Using recent results of Bayer-Macr\`i, we compute in many cases the pseudoeffective and nef cones of the projectivised cotangent bundle of a smooth projective K3 surface.
Frank Gounelas, John Christian Ottem
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Veterinary Dermatology, Volume 34, Issue 6, Page 523-531, December 2023., 2023 Background – Polyunsaturated fatty acids (PUFA) can be beneficial in the management of canine atopic dermatitis (cAD). A commercial product PCSO‐524 containing PUFA has demonstrated anti‐inflammatory effects in dogs. Hypothesis/Objectives – To evaluate the efficacy of PCSO‐524, in combination with oclacitinib in dogs with cAD.
Takeo Nishiyama +7 more
wiley +1 more source
Veterinary Dermatology, Volume 34, Issue 2, Page 99-106, April 2023., 2023 Background – A rebound of pruritus occasionally occurs after oclacitinib dose reduction in dogs with atopic dermatitis (AD). Objectives – To determine whether an initial 4‐day course of prednisolone decreases the probability of a pruritus rebound after reducing the frequency of oclacitinib administration.
Thierry Olivry +5 more
wiley +1 more source