Results 41 to 50 of about 574 (169)

Lie symmetries of birational maps preserving genus 0 fibrations [PDF]

, 2015
Preprint.We prove that any planar birational integrable map, which preserves a fibration given by genus $0$ curves has a Lie symmetry and some associated invariant measures.
Llorens, Mireia, Mañosa Fernández, Víctor   +1 more
core   +2 more sources

Local Factorization of Birational Maps

Advances in Mathematics, 1997
Inclusions of regular local rings \(R\subset S\) of dimension two with common quotient field have (according to a well known theorem of Zariski-Abhyankar) a simple structure, namely: \(R\subset S\) can be factored by a unique finite product of quadratic transforms. In dimension \(\geq 3\) the situation is a lot more complicated. In this sense Abhyankar
openaire   +2 more sources

Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley   +1 more source

On the canonical bundle formula in positive characteristic

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let f:X→Z$f:X\to Z$ be a fibration from a normal projective variety X$X$ of dimension n$n$ onto a normal curve Z$Z$ over a perfect field of characteristic p>2$p>2$. Let (X,B)$(X,B)$ be a dlt pair such that the induced pair on a general fibre is log canonical.
Marta Benozzo
wiley   +1 more source

The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Faster Complete Addition Laws for Montgomery Curves

Transactions on Cryptographic Hardware and Embedded Systems
An addition law for an elliptic curve is complete if it is defined for all possible pairs of input points on the elliptic curve. In Elliptic Curve Cryptography (ECC), a complete addition law provides a natural protection against side-channel attacks ...
Reza Rezaeian Farashahi, Mojtaba Fadavi, Soheila Sabbaghian   +2 more
doaj   +1 more source

On regularizable birational maps

, 2020
Bedford asked if there exists a birational self map $f$ of the complex projective plane such that for any automorphism $A$ of the complex projective plane $A\circ f$ is not conjugate to an automorphism. Blanc gave such a $f$ of degree $6$ and asked if there exists an example of smaller degree. In this article we give an example of degree $5$.
openaire   +2 more sources

On birational maps from cubic threefolds [PDF]

NWEJM, 2014
In the last version, the relation with the work of [CM13] has been developed and the fact that the open subset in the moduli space of curve is dense has been ...
Blanc, Jérémy, Lamy, Stéphane
openaire   +3 more sources

Measuring birational derived splinters

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source