74 citations · 177 across the 23 of their papers we have counts for
25 papers
Specialization of cycles and the K-theory elevator
Pedro Luis del Angel, Charles Doran, Jaya Iyer +4
A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to stud…
Richard Dedekind: Style and Influence
Stefan Müller-Stach
This text is based on an invited talk at the Dedekind Symposium at Braunschweig in October 2016. It summarizes views from my recent commented edition of Dedekinds two books on the…
Special subvarieties in Mumford-Tate varieties
Abolfazl Mohajer, Stefan Müller-Stach, Kang Zuo
Let X be a Mumford-Tate variety, i.e., a quotient of a Mumford-Tate domain D by a discrete subgroup. Mumford-Tate varieties are generalizations of Shimura varieties. We define the…
Degeneration of the modified diagonal cycle
Jaya N. Iyer, Stefan Müller-Stach
In this note, we revisit the modified diagonal cycle of Gross and Schoen. We look at degenerations of this cycle, induced by a degeneration of the curve C, and explain how the spec…
A diophantine equation for sums of consecutive like powers
Simon Felten, Stefan Müller-Stach
We show that the diophantine equation has no solutions in positive integers for all .
Hodge numbers for the cohomology of Calabi-Yau type local systems
Henning Hollborn, Stefan Müller-Stach
We use Higgs cohomology to determine the Hodge numbers of the first intersection cohomology group of a local system V arising from the third direct image of a family of Calabi-Yau…
Motives of graph hypersurfaces with torus operations
Stefan Müller-Stach, Benjamin Westrich
We investigate graph hypersurfaces and study conditions under which graph hypersurfaces admit algebraic torus operations. This leads in principle to a computation of graph motives…
Picard-Fuchs equations for Feynman integrals
Stefan Müller-Stach, Stefan Weinzierl, Raphael Zayadeh
We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resultin…
A second-order differential equation for the two-loop sunrise graph with arbitrary masses
Stefan Müller-Stach, Stefan Weinzierl, Raphael Zayadeh
We derive a second-order differential equation for the two-loop sunrise graph in two dimensions with arbitrary masses. The differential equation is obtained by viewing the Feynman…
Negative curves on algebraic surfaces
Th. Bauer, B. Harbourne, A. L. Knutsen +4
We study curves of negative self-intersection on algebraic surfaces. We obtain results for smooth complex projective surfaces X on the number of reduced, irreducible curves C of ne…
Abelian varieties and theta functions associated to compact Riemannian manifolds; constructions inspired by superstring theory
Stefan Müller-Stach, Chris Peters, Vasudevan Srinivas
We look into a construction of principal abelian varieties attached to certain spin manifolds, due to Witten and Moore-Witten around 2000 and try to place it in a broader framework…
On the relation between Nori Motives and Kontsevich Periods
Annette Huber, Stefan Müller-Stach
We show that the spectrum of Kontsevich's algebra of formal periods is a torsor under the motivic Galois group for mixed motives over the rational numbers. This assertion is stated…
A note on the unirationality of a moduli space of double covers
Jaya NN Iyer, Stefan Müller-Stach
In this note we look at the moduli space $\cR_{3,2}$ of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Ver…
On the cohomology groups of local systems over Hilbert modular varieties via Higgs bundles
Stefan Müller-Stach, Mao Sheng, Xuanming Ye +1
Let be a Hilbert modular variety and a non-trivial local system over with infinite monodromy. In this paper we study Saito's mixed Hodge structure (MHS) on the…
Relative Chow-Kuenneth decompositions for morphisms of threefolds
Stefan Müller-Stach, Morihiko Saito
We show that any nonconstant morphism of a threefold admits a relative Chow-Kuenneth decomposition. As a corollary we get sufficient conditions for threefolds to admit an absolute…
Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
Pedro Luis del Angel, Stefan Müller-Stach, Duco van Straten +1
We use -Higgs cohomology to determine the Hodge numbers of the parabolic cohomology $H^1(\bar S, j_*\V)$, where the local system $\V$ arises from the third primitive cohomolog…
Rationality and Chow-Kuenneth decompositions for some moduli stacks of curves
JN Iyer, S. Müller-Stach
In this paper, we show the existence of a Chow--Kuenneth decomposition for the moduli stack of stable curves of genus g with r marked points, for low values of g,r. We also look at…
Chow--Kuenneth decomposition for special varieties
Jaya NN Iyer, Stefan Müller-Stach
In this paper we investigate Murre's conjecture on the Chow--Künneth decomposition for two classes of examples. We look at the universal families of smooth curves over spaces which…
Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients
S. Müller-Stach, X. Ye, K. Zuo
We study the --cohomology of certain local systems on non-compact arithmetic ball quotients $X=Γ\backslash \B_n$, in particular vanishing and non--vanishing results. We also g…
The Milnor-Chow homomorphism revisited
Moritz Kerz, Stefan Müller-Stach
The aim of this note is to give a simplified proof of the surjectivity of the natural Milnor-Chow homomorphism between Milnor -theory and higher Chow…
Chow-Kunneth decomposition for universal families over Picard modular surfaces
Andrea Miller, Stefan Müller-Stach, Sigrid Wortmann +2
We discuss the existence of an absolute Chow-Kuenneth decomposition for complete degenerations of families of Abelian threefolds with complex multiplication over a particular Picar…
Picard-Fuchs equations, Integrable Systems, and higher Algebraic K-theory
Pedro L. del Angel, Stefan Müller-Stach
This paper continues our previous work done in math.AG/0008207 and is an attempt to establish a conceptual framework which generalizes the work of Manin on the relation between non…
On K_1 and K_2 of algebraic surfaces
Stefan Müller-Stach, Shuji Saito, Alberto Collino
We study the higher Chow groups and of smooth, projective algebraic surfaces over a field of char 0. We develop a theoretical framework to study them by usi…
The transcendental part of the regulator map for K_1 on a mirror family of K3 surfaces
Pedro Luis del Angel, Stefan Müller-Stach
We compute the transcendental part of the normal function corresponding to the Deligne class of a cycle in K_1 of a mirror family of quartic K3 surfaces. The resulting multivalued…