125 research outputs found

    Mixed-Spin-P fields for GIT quotients

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    The theory of Mixed-Spin-P (MSP) fields was introduced by Chang-Li-Li-Liu for the quintic threefold, aiming at studying its higher-genus Gromov-Witten invariants. Chang-Guo-Li has successfully applied it to prove conjectures on the higher-genus Gromov-Witten invariants, including the BCOV Feynman rule and Yamaguchi-Yau's polynomiality conjecture. This paper generalizes the MSP fields construction to more general GIT quotients, including global complete intersection Calabi-Yau manifolds in toric varieties. This hopefully provides a geometric platform to effectively compute higher-genus Gromov-Witten invariants for complete intersections in toric varieties. The key to our paper is a stability condition which guarantees the separatedness and properness of the cosection degeneracy locus in the moduli. It also gives a mathematical definitions for more general Landau-Ginzburg theories.Comment: 46 pages, bibliography update

    A boundedness theorem for principal bundles on curves

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    Let GG be a reductive group acting on an affine scheme VV. We study the set of principal GG-bundles on a smooth projective curve C\mathcal C such that the associated VV-bundle admits a section sending the generic point of C\mathcal C into the GIT stable locus Vs(θ)V^{\mathrm{s}}(\theta). We show that after fixing the degree of the line bundle induced by the character θ\theta, the set of such principal GG-bundles is bounded. The statement of our theorem is made slightly more general so that we deduce from it the boundedness for ϵ\epsilon-stable quasimaps and Ω\Omega-stable LG-quasimap.Comment: 16 pages, bibliography update

    Simple sequence repeat-based consensus linkage map of \u3cem\u3eBombyx mori\u3c/em\u3e

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    We established a genetic linkage map employing 518 simple sequence repeat (SSR, or microsatellite) markers for Bombyx mori (silkworm), the economically and culturally important lepidopteran insect, as part of an international genomics program. A survey of six representative silkworm strains using 2,500 (CA)n- and (CT)n-based SSR markers revealed 17-24% polymorphism, indicating a high degree of homozygosity resulting from a long history of inbreeding. Twenty-nine SSR linkage groups were established in well characterized Dazao and C108 strains based on genotyping of 189 backcross progeny derived from an F1 male mated with a C108 female. The clustering was further focused to 28 groups by genotyping 22 backcross progeny derived from an F1 female mated with a C108 male. This set of SSR linkage groups was further assigned to the 28 chromosomes (established linkage groups) of silkworm aided by visible mutations and cleaved amplified polymorphic sequence markers developed from previously mapped genes, cDNA sequences, and cloned random amplified polymorphic DNAs. By integrating a visible mutation p (plain, larval marking) and 29 well conserved genes of insects onto this SSR-based linkage map, a second generation consensus silkworm genetic map with a range of 7-40 markers per linkage group and a total map length of ≈3431.9 cM was constructed and its high efficiency for genotyping and potential application for synteny studies of Lepidoptera and other insects was demonstrated

    Safety profile of 0.0015% tafluprost eye drops in China: a post-marketing observational study

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    AIM: To investigate the treatment pattern and safety of tafluprost for glaucoma and ocular hypertension (OH) in clinical practice in China. METHODS: This post-marketing observational study included patients who received tafluprost to lower intraocular pressure (IOP) within 30d between September 2017 and March 2020 in 20 hospitals in China. Adverse drug reactions (ADRs) during tafluprost treatment and within 30d after the treatment were collected. RESULTS: A total of 2544 patients were included in this study, of them 58.5% (1488/2544) had primary open angle glaucoma (POAG), 21.9% (556/2544) had OH and 19.7% (500/2544) used tafluprost for other reasons. Of 359 ADRs occurred in 10.1% (258/2544) patients, and no serious adverse event occurred. The most common ADR was conjunctival hyperemia (128 ADRs in 124 patients, 4.9%). Totally 1670 participants (65.6%) combined tafluprost with carbonic anhydrase inhibitors (CAIs; 37.1%, 620/1670), sympathomimetics (33.5%, 559/1670), β-blockers (33.2%, 555/1670), other prostaglandin analogs (PGAs; 15.6%, 260/1670) and other eye drops (15.1%, 253/1670). The highest incidence of conjunctival hyperemia was noted in patients who received tafluprost in combination with other PGAs (23 ADRs in 23 patients, 8.8%, 23/260) and the lowest was in combination with CAIs (16 ADRs in 16 patients, 2.6%, 16/620). Tafluprost was applied in primary angle-closure glaucoma (41.6%, 208/500), after glaucoma surgery (17.8%, 89/500) and after non-glaucoma surgery (15.8%, 79/500). CONCLUSION: Tafluprost is safe for POAG and OH, and tolerable when combined with other eye drops and under various clinical circumstances
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