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Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We
then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of
eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume
and the dynamics of their geodesic flows.
Floral patterns of India
A detailed view of the stunningly rich floral pattern in Indian architecture and design.
The canonical ring of a stacky curve
by
Voight, John
,
Zureick-Brown, David
in
Algebraic geometry -- Computational aspects in algebraic geometry -- Curves. msc
,
Curves, Algebraic
,
Number theory -- Discontinuous groups and automorphic forms -- Holomorphic modular forms of integral weight. msc
2022
Generalizing the classical theorems of Max Noether and Petri, we describe generators and relations for the canonical ring of a stacky
curve, including an explicit Gröbner basis. We work in a general algebro-geometric context and treat log canonical and spin canonical
rings as well. As an application, we give an explicit presentation for graded rings of modular forms arising from finite-area quotients
of the upper half-plane by Fuchsian groups.
Simple nature textures, volume 1
Simple Nature textures Volume 1 incl. DVD is a graphic book with 120 designs free & ready to use. Flower motifs are never enough, especially if they are soft, in pastel tones, drawn on a sketch-pad. Simple textures Nature Volume 1 is a collection of delicately drawn flowers, leaves, butterflies, birds, dragonflies, etc., suitable for timeless collections. Illustrations have a touch of spring with a nostalgic charm. DVD including 120 designs in 5 different formats ( Illustrator 8 and higher, Coreldraw 10 and higher, Freehand 9 and higher, Photoshop - all versions) for Windows and MAC.
Archival Fictions
Technological innovation has long threatened the printed book, but
ultimately, most digital alternatives to the codex have been
onscreen replications. While a range of critics have debated the
benefits and dangers of this media technology, contemporary and
avant-garde writers have offered more nuanced considerations.
Taking up works from Andy Warhol, Kevin Young, Don DeLillo, and
Hari Kunzru, Archival Fictions considers how these writers
have constructed a speculative history of media technology through
formal experimentation. Although media technologies have determined
the extent of what can be written, recorded, and remembered in the
immediate aftermath of print's hegemony, Paul Benzon argues that
literary form provides a vital means for critical engagement with
the larger contours of media history. Drawing on approaches from
media poetics, film studies, and the digital humanities, this
interdisciplinary study demonstrates how authors who engage
technology through form continue to imagine new roles for print
literature across the late twentieth and early twenty-first
centuries.