Related papers: Invariants in equivariant birational geometry
We introduce new invariants in equivariant birational geometry and study their relation to modular symbols and cohomology of arithmetic groups.
We discuss the equivariant Burnside group and related new invariants in equivariant birational geometry, with a special emphasis on applications in low dimensions.
We construct new invariants of equivariant birational isomorphisms taking values in equivariant Burnside groups.
We investigate the birational geometry of Deligne-Mumford stacks and define new birational invariants in this context.
We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
In this paper we will survey some recent developments in the last decade or so on variation of Geometric Invariant Theory and its applications to Birational Geometry such as the weak Factorization Theorems of nonsingular projective…
We study linear actions of finite groups in small dimensions, up to equivariant birationality.
We study equivariant birationality from the perspective of derived categories. We produce examples of nonlinearizable but stably linearizable actions of finite groups on smooth cubic fourfolds.
We give a survey on higher invariants in noncommutative geometry and their applications to differential geometry and topology.
In this paper, we discuss the birational invariance of the class of balanced hyperbolic manifolds.
Several new invariants for Lie algebroids have been discovered recently. We give an overview of these invariants and establish several relationships between them.
We study $G$-equivariant birational geometry of toric varieties, where $G$ is a finite group.
We develop the formalism of universal torsors in equivariant birational geometry and apply it to produce new examples of nonbirational but stably birational actions of finite groups.
We study involutions on K3 surfaces under conjugation by derived equivalence and more general relations, together with applications to equivariant birational geometry.
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most one. This implies severe constraints on both the type and…
This paper is devoted to a discussion of specific properties of invariants in the theory of forms.
We study some homological invariants of a given generalized bound path algebra in terms of those of the algebras used in its construction. We discuss the particular case where the algebra is a generalized path algebra and give conditions…
In this paper we describe the algebra of differential invariants for GL(n,C)-structures. This leads to classification of almost complex structures of general positions. The invariants are applied to the existence problem of…
We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite abelian groups, due to Kontsevich, Pestun, and the second author, and study their…
We provide a geometric characterisation of binary sextics with vanishing quadratic invariant.