Abstract
The determinantal variety
Funding statement: Jaigyoung Choe was supported in part by NRF-2018R1A2B6004262.
Acknowledgements
Jaigyoung Choe would like to thank the Chinese University of Hong Kong Mathematics Department for their invitation in Spring 2019. Jens Hoppe would like to thank Teoman Turgut for valuable discussions.
References
[1] J. Arnlind, J. Hoppe and M. Kontsevich, Quantum minimal surfaces, preprint (2019), https://arxiv.org/abs/1903.10792. Suche in Google Scholar
[2]
M. Bordemann, E. Meinrenken and M. Schlichenmaier,
Toeplitz quantization of Kähler manifolds and
[3] W. Bruns and U. Vetter, Determinantal rings, Lecture Notes in Math. 1327, Springer, Berlin 1988. 10.1007/BFb0080378Suche in Google Scholar
[4] J. Choe and J. Hoppe, Some minimal submanifolds generalizing the Clifford torus, Math. Nachr. 291 (2018), 2536–2542. 10.1002/mana.201700303Suche in Google Scholar
[5] A. C. Chu, Some minimal submanifolds in spheres, unpublished manuscript 2019. Suche in Google Scholar
[6] B. P. Dolan, D. O’Connor and P. Prešnajder, Fuzzy complex quadrics and spheres, J. High Energy Phys. 2004 (2004), no. 2, Article ID 055. 10.1088/1126-6708/2004/02/055Suche in Google Scholar
[7] D. L. Gee and T. R. Morris, From first to second quantized string theory. II. The dilaton and other fields, Nuclear Phys. B 331 (1990), no. 3, 675–694. 10.1016/0550-3213(90)90089-VSuche in Google Scholar
[8] J. Hoppe, Lectures on minimal surfaces, preprint (2019), https://arxiv.org/abs/1903.12062v2. Suche in Google Scholar
[9]
J. Hoppe, G. Linardopoulos and O. T. Turgut,
New minimal hypersurfaces in
[10] J. Hoppe and V. G. Tkachev, New construction techniques for minimal surfaces, Complex Var. Elliptic Equ. 64 (2019), no. 9, 1546–1563. 10.1080/17476933.2018.1542688Suche in Google Scholar
[11] S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. II, John Wiley & Sons, New York 1969. Suche in Google Scholar
[12] K. Kozhasov, On minimality of determinantal varieties, preprint (2020), https://arxiv.org/abs/2003.01049. 10.1016/j.laa.2021.05.011Suche in Google Scholar
[13] V. G. Tkachev, Minimal cubic cones via Clifford algebras, Complex Anal. Oper. Theory 4 (2010), no. 3, 685–700. 10.1007/s11785-010-0078-1Suche in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
- Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
- Asymptotic expansions of fiber integrals over higher-dimensional bases
- Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions
- The minimality of determinantal varieties
- On the Frobenius functor for symmetric tensor categories in positive characteristic
- On a BSD-type formula for L-values of Artin twists of elliptic curves
- Special functions and Gauss–Thakur sums in higher rank and dimension
Artikel in diesem Heft
- Frontmatter
- The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs
- Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
- Asymptotic expansions of fiber integrals over higher-dimensional bases
- Pointwise bound for ℓ-torsion in class groups: Elementary abelian extensions
- The minimality of determinantal varieties
- On the Frobenius functor for symmetric tensor categories in positive characteristic
- On a BSD-type formula for L-values of Artin twists of elliptic curves
- Special functions and Gauss–Thakur sums in higher rank and dimension