Results 21 to 30 of about 2,303 (59)

Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà   +3 more
wiley   +1 more source

Remarks on syzygies of $d$-gonal curves

, 2005
We apply a degenerate version of a result due to Hirschowitz, Ramanan and Voisin to verify Green and Green-Lazarsfeld conjectures over explicit open sets inside each $d$-gonal stratum of curves $X$ with ...
Aprodu, Marian
core   +1 more source

Gromov–Witten invariants of bielliptic surfaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract Bielliptic surfaces appear as a quotient of a product of two elliptic curves and were classified by Bagnera–Franchis. We give a concrete way of computing their GW‐invariants with point insertions using a floor diagram algorithm. Using the latter, we are able to prove the quasi‐modularity of their generating series by relating them to ...
Thomas Blomme
wiley   +1 more source

Algebraic entropy and the space of initial values for discrete dynamical systems

, 2001
A method to calculate the algebraic entropy of a mapping which can be lifted to an isomorphism of a suitable rational surfaces (the space of initial values) are presented. It is shown that the degree of the $n$th iterate of such a mapping is given by its
Arnold V I, Cossec F, Diller J, Dolgachev I, Dolgachev I, Gizatullin M H, Jimbo M, Kac V, Looijenga E, Okamoto K, Takenawa T, Takenawa T, Takenawa T, Tomoyuki Takenawa   +13 more
core   +1 more source

On Weil–Stark elements, I: Construction and general properties

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We construct a canonical family of elements in the reduced exterior powers of unit groups of global fields and investigate their detailed arithmetic properties. We then show that these elements specialise to recover the classical theory of cyclotomic elements in real abelian fields and also have connections to the theory of non‐commutative ...
David Burns, Daniel Macias Castillo, Soogil Seo   +2 more
wiley   +1 more source

Combinatorial aspects of exceptional sequences on (rational) surfaces

, 2017
We investigate combinatorial aspects of exceptional sequences in the derived category of coherent sheaves on certain smooth and complete algebraic surfaces.
Perling, Markus
core   +1 more source

L${L}$‐functions of Kloosterman sheaves

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley   +1 more source

ACM bundles on del Pezzo surfaces [PDF]

, 2009
ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the rational normal curves that they contain. A complete list of ACM line bundles is provided. Moreover, for any del Pezzo surface $X$ of degree less or equal than six and for any $n\geq
Pons-Llopis, Joan, Tonini, Fabio
core   +3 more sources

Autoequivalences of blow‐ups of minimal surfaces

Bulletin of the London Mathematical Society, Volume 56, Issue 10, Page 3257-3267, October 2024.
Abstract Let X$X$ be the blow‐up of PC2$\mathbb {P}^2_\mathbb {C}$ in a finite set of very general points. We deduce from the work of Uehara [Trans. Amer. Math. Soc. 371 (2019), no. 5, 3529–3547] that X$X$ has only standard autoequivalences, no non‐trivial Fourier–Mukai partners, and admits no spherical objects. If X$X$ is the blow‐up of PC2$\mathbb {P}
Xianyu Hu, Johannes Krah
wiley   +1 more source