Coherent Systems on Algebraic Curves

Newstead, P. E.

doi:10.1142/7705

Cited by 11 publications

(15 citation statements)

References 31 publications

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“…The transporters are 12 TM proteins with intracellular termini and an extended extracellular loop at TM 9/10. The crystal structure of PepTSo (a prokaryote homologue of PepT1 and PepT2 from Shewanella oneidensis) confirms many of the predicted structural features of mammalian PepT1 and PepT2 [360]. PHT1 has been suggested to be intracellular [410], while PHT2 protein is located on lysosomes in transfected cells [52,230,426].…”

Section: Further Readingmentioning

confidence: 74%

The Concise Guide to PHARMACOLOGY 2015/16: Transporters

Alexander

Kelly

Marrion

et al. 2015

British J Pharmacology

190

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The Concise Guide to PHARMACOLOGY 2015/16 provides concise overviews of the key properties of over 1750 human drug targets with their pharmacology, plus links to an open access knowledgebase of drug targets and their ligands (www.guidetopharmacology.org), which provides more detailed views of target and ligand properties. The full contents can be found at http://onlinelibrary.wiley.com/doi/ 10.1111/bph.13355/full. G protein-coupled receptors are one of the eight major pharmacological targets into which the Guide is divided, with the others being: G protein-coupled receptors, ligand-gated ion channels, voltage-gated ion channels, other ion channels, nuclear hormone receptors, catalytic receptors and transporters. These are presented with nomenclature guidance and summary information on the best available pharmacological tools, alongside key references and suggestions for further reading. The Concise Guide is published in landscape format in order to facilitate comparison of related targets. It is a condensed version of material contemporary to late 2015, which is presented in greater detail and constantly updated on the website www.guidetopharmacology.org, superseding data presented in the previous Guides to Receptors & Channels and the Concise Guide to PHARMACOLOGY 2013/14. It is produced in conjunction with NC-IUPHAR and provides the official IUPHAR classification and nomenclature for human drug targets, where appropriate. It consolidates information previously curated and displayed separately in IUPHAR-DB and GRAC and provides a permanent, citable, point-in-time record that will survive database updates. Conflict of interestThe authors state that there are no conflicts of interest to declare.

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Section: Further Readingmentioning

confidence: 74%

The Concise Guide to PHARMACOLOGY 2015/16: Transporters

Alexander

Kelly

Marrion

et al. 2015

British J Pharmacology

190

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“…For the links between Brill-Noether theory and the moduli of coherent systems, see [4,5]. See also [26] for a survey of results and open problems on coherent systems; note however that there are many more recent results in this area.…”

Section: Many Of the Basic Questions On Nonemptiness Of B Kmentioning

confidence: 99%

Nonemptiness and smoothness of twisted Brill–Noether loci

Hitching

Hoff

Newstead

2020

Annali di Matematica

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Let V be a vector bundle over a smooth curve C. In this paper, we study twisted Brill–Noether loci parametrising stable bundles E of rank n and degree e with the property that $$h^0 (C, V \otimes E) \ge k$$ h 0 ( C , V ⊗ E ) ≥ k . We prove that, under conditions similar to those of Teixidor i Bigas and of Mercat, the Brill–Noether loci are nonempty and in many cases have a component which is generically smooth and of the expected dimension. Along the way, we prove the irreducibility of certain components of both twisted and “nontwisted” Brill–Noether loci. We describe the tangent cones to the twisted Brill–Noether loci. We end with an example of a general bundle over a general curve having positive-dimensional twisted Brill–Noether loci with negative expected dimension.

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“…In this section, we recall the main results that we will use on the Brill-Noether Theory and on coherent systems over a nonsingular irreducible complex projective curve X of genus g ≥ 2. For a more complete treatment of the subjects, see [7] and [22] and [15] and the references therein.…”

Section: Brill-noether Theory and Coherent Systemsmentioning

confidence: 99%