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César Lozano Huerta
My area of research is algebraic geometry. That is, zeros of polynomials.
I use modern tools and language to study questions that can be traced
back
to the 19th or early 20th century.
People tend to call this sub discipline of mathematics
classical algebraic geometry
Seminario nacional de geometría algebraica en LÍNEA: (WWW)
Publications -- research
The Noether-Lefschetz locus of surfaces in P3 formed by determinantal surfaces. (arXiv)
joint with M. Leal and M. Vite.
Comments welcome.
Minimal free resolutions of sheaves on the plane and the base locus of their moduli space. (arXiv)
joint with M. Leal and T. Ryan.
Comments welcome.
On the position of nodes of plane curves. (arXiv) joint with
T. Ryan.
Bulletin of the Australian Mathematical Society, 1-7. 2020. doi:10.1017/S0004972720000489
The Lefschetz principle in birational geometry: birational twin varieties (arXiv) joint with
A. Massarenti.
Birational Geometry and Moduli spaces, Springer INdAM Series, Vol. 39 (2020), 109--132.
On the birational geometry of Hilbert schemes of points and Severi divisors (arXiv) joint with
T. Ryan.
Communications in Algebra, 2020. doi: 10.1080/00927872.2020.1767119
Families of elliptic curves and Bridgeland
stability: (arXiv) joint with
B. Schmidt, P. Gallardo.
Michigan Mathematical Journal, Vol. 67, Issue 4 (2018), 787-813
Extremal higher codimension cycles of the space
of complete conics: (arXiv)
Contemporary Mathematics, Vol. 709; 2018, 87-99
- Birational geometry of complete quadrics:
(arXiv)
International Mathematics Research Notices (2015), Vol. 2015, 12563-12589.
- Birational geometry of the space of complete quadrics,
PhD Thesis, University of Illinois at Chicago, 2014.
Publications -- literacy
On the weak Lefschetz principle in birational geometry. (arXiv), (AMS)
Joint with A. Massarenti.
Notices of the American Mathematical Society, 2021.
Tres medallas de la geometría birracional: (WWW)
Motivos Matemáticos, Instituto de matemáticas, UNAM, 2018.
Curvas algebraicas y la pregunta de Halphen: (arXiv)
Miscelánea Matemática de
la SMM, 62, 2016. 1-15.
Clases
Características (J. W. Milnor y J. D. Stasheff )
Priceton University Press and University of Tokio Press, 1974.
Traducción al español de César Lozano
Huerta y Mauricio Bustamante.
Colección Papirhos, Serie Textos. UNAM, 2017.
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