Results 1 to 10 of about 44 (44)

Tropicalization of the universal Jacobian [PDF]

Épijournal de Géométrie Algébrique, 2022
In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process of tropicalization of the universal compactified Jacobian over the moduli ...
Margarida Melo, Samouil Molcho, Martin Ulirsch, Filippo Viviani   +3 more
doaj   +1 more source

Brill-Noether theory for curves of a fixed gonality

Forum of Mathematics, Pi, 2021
We prove a generalisation of the Brill-Noether theorem for the variety of special divisors $W^r_d(C)$ on a general curve C of prescribed gonality. Our main theorem gives a closed formula for the dimension of $W^r_d(C)$ . We build on previous
David Jensen, Dhruv Ranganathan
doaj   +1 more source

Pseudomonas aeruginosa isolation from dog grooming products used by private owners or by professional pet grooming salons: prevalence and risk factors

Veterinary Dermatology, Volume 33, Issue 4, Page 316-e73, August 2022., 2022
Abstract Background Pseudomonas aeruginosa is the most commonly isolated bacterium from skin lesions of dogs with post‐grooming furunculosis (PGF). It is frequently found in human hair and skin care products, and may pose a health risk to consumers. Information regarding the prevalence of P. aeruginosa contamination of dog grooming products is lacking.
Elad Perry, Gila Abells Sutton, Lotem Haggag, Marcelo Fleker, Shlomo Eduardo Blum, Ronnie Kaufmann   +5 more
wiley   +1 more source

Homological and combinatorial aspects of virtually Cohen–Macaulay sheaves

Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 413-434, December 2021., 2021
Abstract When studying a graded module M over the Cox ring of a smooth projective toric variety X, there are two standard types of resolutions commonly used to glean information: free resolutions of M and vector bundle resolutions of its sheafification. Each approach comes with its own challenges.
Christine Berkesch, Patricia Klein, Michael C. Loper, Jay Yang   +3 more
wiley   +1 more source

Efficacy and safety of 0.0584% hydrocortisone aceponate topical spray and systemic oclacitinib combination therapy in dogs with atopic dermatitis: a randomized, double‐blinded, placebo‐controlled trial

Veterinary Dermatology, Volume 32, Issue 2, Page 119-e25, April 2021., 2021
Background – Oclacitinib is an effective systemic therapy for dogs with atopic dermatitis (AD). Few studies have evaluated concurrent topical treatment with oclacitinib in dogs. Objectives – To evaluate the efficacy and safety of combination therapy of oclacitinib and 0.0584% hydrocortisone aceponate (HCA) spray in dogs with AD.
Junko Takahashi, Satoko Kanda, Ichiro Imanishi, Tadashi Hisano, Teruyasu Fukamachi, Norihito Taguchi, Shoko Momiyama, Satoshi Nishiyama, Tomoki Motegi, Keita Iyori   +9 more
wiley   +1 more source

A MODULI STACK OF TROPICAL CURVES

Forum of Mathematics, Sigma, 2020
We contribute to the foundations of tropical geometry with a view toward formulating tropical moduli problems, and with the moduli space of curves as our main example.
RENZO CAVALIERI, MELODY CHAN, MARTIN ULIRSCH, JONATHAN WISE   +3 more
doaj   +1 more source

Haas' theorem revisited [PDF]

Épijournal de Géométrie Algébrique, 2017
Haas' theorem describes all partchworkings of a given non-singular plane tropical curve $C$ giving rise to a maximal real algebraic curve. The space of such patchworkings is naturally a linear subspace $W_C$ of the $\mathbb{Z}/2\mathbb{Z}$-vector space $\
Benoît Bertrand, Erwan Brugallé, Arthur Renaudineau   +2 more
doaj   +1 more source

Orthogonality for (0, −1) tropical normal matrices

Special Matrices, 2020
We study pairs of mutually orthogonal normal matrices with respect to tropical multiplication. Minimal orthogonal pairs are characterized. The diameter and girth of three graphs arising from the orthogonality equivalence relation are computed.
Bakhadly Bakhad, Guterman Alexander, de la Puente María Jesús   +2 more
doaj   +1 more source

Lefschetz (1,1)-theorem in tropical geometry [PDF]

Épijournal de Géométrie Algébrique, 2018
For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map.
Philipp Jell, Johannes Rau, Kristin Shaw
doaj   +1 more source

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source