期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (794)
It is well known that all Borel subgroups of a linear algebraic group are conjugate. Berest, Eshmatov, and Eshmatov have shown that this result also h......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (798)
We establish an explicit formula for the character of an irreducible finite-dimensional representation of gl(m|n). The formula is a finite sum with in......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (799)
We show that the eigenbundle (localization bundle) of certain Hilbert modules over bounded symmetric domains of rank r is a singular vector bundle (li......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (801)
We develop a purely categorical theory of action filtrations and their associated growth invariants. When specialized to categories of geometric inter......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (802)
Cluster varieties come in pairs: for any X cluster variety there is an associ-ated Fock-Goncharov dual A cluster variety. On the other hand, in the co......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (803)
In this paper, we investigate the connection between the index and the geometry and topology of capillary surfaces. We prove an index estimate for com......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (794)
For an invertible quasihomogeneous polynomial w we prove an all-genus mirror theorem relating two cohomological field theories of Landau-Ginzburg type......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (803)
We study the Yamabe flow starting from an asymptotically flat manifold ( M-n , g(0) ). We show that the flow converges to an asymptotically flat, scal......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (804)
We prove a mixed version of a conjecture of Griffiths: that the closure of the image of any admissible mixed period map is quasi-projective, with a na......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (805)
Let G(k) denote the least numbers having the property that every sufficiently large natural number is the sum of at most s positive integral k-th powe......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (794)
We construct a smooth complex projective rational surface with infinitely many mutually non-isomorphic real forms. This gives the first definite answe......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (798)
We use Hitchin's twistor transform for two-dimensional projective structures to obtain normal coordinates in a pseudoconcave neighbourhood of an O(1) ......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (798)
We develop the notion of a Kleinian Sphere Packing, a generalization of crystallographic (Apollonian-like) sphere packings defined in [A. Kontorovich ......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (799)
We obtain results about fundamental groups of RCD* (K, N) spaces previously known under additional conditions such as smoothness or lower sectional cu......
期刊： JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023; 2023 (799)
We prove that the universal family of polarized K3 surfaces of degree 2 can be extended to a flat family of stable KSBA pairs (X, e R) over the toroid......
