Hilbert scheme of smooth space curves
Hodge integrals and invariants of the unknot.
Hodge-gaussian maps
Hodge-Tate Structures and Modular Forms.
Hodge–type structures as link invariants
Based on some analogies with the Hodge theory of isolated hypersurface singularities, we define Hodge–type numerical invariants of any, not necessarily algebraic, link in a three–sphere. We call them H–numbers. They contain the same amount of information as the (non degenerate part of the) real Seifert matrix. We study their basic properties, and we express the Tristram–Levine signatures and the higher order Alexander polynomial in terms of them. Motivated by singularity theory, we also introduce...
Höhere Sekantenvarietäten und Vektorbündel auf Kurven.
Holomorphic Conformal Structures and Uniformization of Complex Surfaces.
Holomorphic triples of genus 0
Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.
Homological Properties of Certain Arithmetic Groups in the Function Field Case.
Homology, Belyi functions and canonical curves.
Hurwitz spaces of genus 2 covers of an elliptic curve.
Let E be an elliptic curve over a field K of characteristic not equal to 2 and let N > 1 be an integer prime to char(K). The purpose of this paper is to construct the (two-dimensional) Hurwitz moduli space H (E/K,N,2) which classifies genus 2 covers of E of degree N and to show that it is closely related to the modular curve X(N) which parametrizes elliptic curves with level-N-structure. More precisely, we introduce the notion of a normalized genus 2 cover of E/K and show that the corresponding...
Hvězdicové mnohoúhelníky
The article presents some possibilities to create non-convex star polygons from regular polygons. The text includes exercises about the construction of the star polygons and exercises inciting to study their attributes and their using in the everyday life of the pupil. The subject of the star polygons deepens the basic curriculum in plane geometry in RVP and it is a suitable motivation complement in teaching mathematics at the second stage of elementary school as well as at grammar school.
Hyperbolicity of the Complement of Plane Curves.
Hyperelliptic action integral
Applying the “exact WKB method” (cf. Delabaere-Dillinger-Pham) to the stationary one-dimensional Schrödinger equation with polynomial potential, one is led to a multivalued complex action-integral function. This function is a (hyper)elliptic integral; the sheet structure of its Riemann surface above the plane of its values has interesting properties: the projection of its branch-points is in general a dense subset of the plane, and there is a group of symmetries acting on the surface. The distribution...
Hyperelliptic Curves with zero Hasse-Witt-Matrix.
Hyperelliptic modular curves
Hyperelliptic modular curves
Hyperelliptic modular curves X₀*(N) with square-free levels
Hyperelliptic plane curves of type .
Hyperelliptic simple factors of with dimension at least 3.