Moduli space of Higgs coherent systems with stable underlying vector bundles over a curve

 

সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
লেখক: Castañeda-González, Edgar I.
বিন্যাস: artículo original
বর্তমান অবস্থা:Versión publicada
প্রকাশনার তারিখ:2026
বিবরন:Let X be a smooth, connected complex projective curve of genus at least 2. A Higgs coherent system is defined as an augmented bundle (E, V), where E is a holomorphic vector bundle over X, and V is a linear subspace of the space of Higgs fields of E. The purpose of this paper is twofold. First, we introduce the moduli problem of Higgs coherent systems over X. Second, we construct the fine moduli space for Higgs coherent systems with stable underlying vector bundles. The construction is achieved by establishing the representability of the associated moduli functor by a projective scheme together with a universal family.
দেশ:Portal de Revistas UCR
প্রতিষ্ঠান:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
ভাষা:Inglés
OAI Identifier:oai:portal.revistas.ucr.ac.cr:article/4192
অনলাইন ব্যবহার করুন:https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/4192
মুখ্য শব্দ:Moduli spaces
Higgs bundles
Coherent systems
Higgs coherent systems
Espacios moduli
Haces de Higgs
Sistemas coherentes
Sistemas coherentes de Higgs