74 citations · 177 across the 23 of their papers we have counts for
20 papers · 1 filter
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…
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…
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…
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…