A note on categorical entropy of bielliptic surfaces and Enriques surfaces
Abstract In this note, we show that there exists an autoequivalence of positive categorical entropy on the derived category of bielliptic surfaces. This gives the first example of a surface admitting positive categorical entropy in the absence of both positive topological entropy and any spherical objects.
Tomoki Yoshida
wiley +1 more source
Monodromy and mapping class groups of 3-dimensional hypersurfaces. [PDF]
Randal-Williams O.
europepmc +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Blocked Two-Level Regular Designs with Individual Aliased Effect Number Pattern. [PDF]
Han M, Zhao S, Sun T.
europepmc +1 more source
Stabilization of Poincaré duality complexes and homotopy gyrations
Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley +1 more source
HLN-DDI: hierarchical molecular representation learning with co-attention mechanism for drug-drug interaction prediction. [PDF]
Luo Y, Deng L, Huang Z.
europepmc +1 more source
The fundamental group of the complement of a generic fiber‐type curve
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Structural insights into a rhombic Penrose tiling variant abundant in five-petaled flower motifs. [PDF]
Fujita N, Niizeki K.
europepmc +1 more source
Fibrational approach to Grandis exactness for 2‐categories
Abstract In an abelian category, the (bi)fibration of subobjects is isomorphic to the (bi)fibration of quotients. This property captures substantial information about the exactness structure of a category. Indeed, as it was shown by the second author and Weighill, categories equipped with a proper factorization system such that the opfibration of ...
Elena Caviglia +2 more
wiley +1 more source
Quadratic Euler characteristic of symmetric powers of curves. [PDF]
Bröring LF, Viergever AM.
europepmc +1 more source

