Han, Jiyuan; Li, Chi Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties. (English) Zbl 07822000 Geom. Topol. 28, No. 2, 539-592 (2024). MSC: 14J45 32Q26 53E30 PDFBibTeX XMLCite \textit{J. Han} and \textit{C. Li}, Geom. Topol. 28, No. 2, 539--592 (2024; Zbl 07822000) Full Text: DOI arXiv
Li, Ni; Ye, Deping; Zhu, Baocheng The dual Minkowski problem for unbounded closed convex sets. (English) Zbl 07802412 Math. Ann. 388, No. 2, 2001-2039 (2024). MSC: 52A20 52A40 52A39 52A30 PDFBibTeX XMLCite \textit{N. Li} et al., Math. Ann. 388, No. 2, 2001--2039 (2024; Zbl 07802412) Full Text: DOI
Cid-Ruiz, Yairon; Montaño, Jonathan Convex bodies and graded families of monomial ideals. (English) Zbl 1511.13025 Rev. Mat. Iberoam. 38, No. 6, 2033-2056 (2022). Reviewer: Jugal K. Verma (Mumbai) MSC: 13H15 52A39 05E40 11H06 PDFBibTeX XMLCite \textit{Y. Cid-Ruiz} and \textit{J. Montaño}, Rev. Mat. Iberoam. 38, No. 6, 2033--2056 (2022; Zbl 1511.13025) Full Text: DOI arXiv
Tat Thang Nguyen Uniform stable radius and Milnor number for non-degenerate isolated complete intersection singularities. (English) Zbl 1490.14021 Manuscr. Math. 168, No. 3-4, 571-589 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14D06 14B05 14B07 PDFBibTeX XMLCite \textit{Tat Thang Nguyen}, Manuscr. Math. 168, No. 3--4, 571--589 (2022; Zbl 1490.14021) Full Text: DOI arXiv
Botero, Ana María The convex-set algebra and intersection theory on the toric Riemann-Zariski space. (English) Zbl 1498.14011 Acta Math. Sin., Engl. Ser. 38, No. 3, 465-486 (2022). MSC: 14C15 14C17 14M25 52C07 PDFBibTeX XMLCite \textit{A. M. Botero}, Acta Math. Sin., Engl. Ser. 38, No. 3, 465--486 (2022; Zbl 1498.14011) Full Text: DOI
Cutkosky, Steven Dale Examples of multiplicities and mixed multiplicities of filtrations. (English) Zbl 1489.13037 Baeth, Nicholas R. (ed.) et al., Commutative algebra. 150 years with Roger and Sylvia Wiegand. Combined proceedings: second international meeting on commutative algebra and related areas, SIMCARA, Universidade de São Paulo, São Carlos, Brazil, July 22–26, 2019 and AMS special session on commutative algebra. In celebration of the 150th birthday of Roger and Sylvia Wiegand, University of Wisconsin-Madison, Wisconsin, September 14–15, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 773, 19-34 (2021). MSC: 13H15 14C20 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Contemp. Math. 773, 19--34 (2021; Zbl 1489.13037) Full Text: DOI arXiv
Rashkovskii, Alexander Interpolation of weighted extremal functions. (English) Zbl 1490.32004 Arnold Math. J. 7, No. 3, 407-417 (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32U15 32U20 52A20 52A40 PDFBibTeX XMLCite \textit{A. Rashkovskii}, Arnold Math. J. 7, No. 3, 407--417 (2021; Zbl 1490.32004) Full Text: DOI arXiv
Cutkosky, Steven Dale The Minkowski equality of filtrations. (English) Zbl 1506.13042 Adv. Math. 388, Article ID 107869, 63 p. (2021). MSC: 13H15 13A18 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Adv. Math. 388, Article ID 107869, 63 p. (2021; Zbl 1506.13042) Full Text: DOI arXiv
Blum, Harold; Liu, Yuchen The normalized volume of a singularity is lower semicontinuous. (English) Zbl 1470.14008 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1225-1256 (2021). Reviewer: Thibaut Delcroix (Montpellier) MSC: 14B05 13A18 32Q20 PDFBibTeX XMLCite \textit{H. Blum} and \textit{Y. Liu}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1225--1256 (2021; Zbl 1470.14008) Full Text: DOI arXiv
Kim, Dano; Rashkovskii, Alexander Higher Lelong numbers and convex geometry. (English) Zbl 1460.32073 J. Geom. Anal. 31, No. 3, 2525-2539 (2021). MSC: 32U05 14F18 32U25 PDFBibTeX XMLCite \textit{D. Kim} and \textit{A. Rashkovskii}, J. Geom. Anal. 31, No. 3, 2525--2539 (2021; Zbl 1460.32073) Full Text: DOI arXiv
Li, Chi; Liu, Yuchen; Xu, Chenyang A guided tour to normalized volume. (English) Zbl 1440.14015 Chen, Jingyi (ed.) et al., Geometric analysis. In honor of Gang Tian’s 60th birthday. Cham: Birkhäuser. Prog. Math. 333, 167-219 (2020). MSC: 14B05 14J45 53C55 13A35 14E30 14-02 PDFBibTeX XMLCite \textit{C. Li} et al., Prog. Math. 333, 167--219 (2020; Zbl 1440.14015) Full Text: DOI arXiv
Blum, Harold; Jonsson, Mattias Thresholds, valuations, and K-stability. (English) Zbl 1441.14137 Adv. Math. 365, Article ID 107062, 57 p. (2020). Reviewer: Ruadhaí Dervan (Cambridge) MSC: 14J45 14B05 32Q20 53C55 14L24 32Q15 14C20 14M25 PDFBibTeX XMLCite \textit{H. Blum} and \textit{M. Jonsson}, Adv. Math. 365, Article ID 107062, 57 p. (2020; Zbl 1441.14137) Full Text: DOI arXiv
Cutkosky, Steven Dale Mixed multiplicities of divisorial filtrations. (English) Zbl 1440.13106 Adv. Math. 358, Article ID 106842, 50 p. (2019). Reviewer: Jugal K. Verma (Mumbai) MSC: 13H15 13A18 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, Adv. Math. 358, Article ID 106842, 50 p. (2019; Zbl 1440.13106) Full Text: DOI arXiv
Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan On the multiplicity of isolated roots of sparse polynomial systems. (English) Zbl 1430.13040 Discrete Comput. Geom. 62, No. 4, 788-812 (2019). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13H15 14Q99 14C17 PDFBibTeX XMLCite \textit{M. I. Herrero} et al., Discrete Comput. Geom. 62, No. 4, 788--812 (2019; Zbl 1430.13040) Full Text: DOI arXiv Link
Cutkosky, Steven Dale; Sarkar, Parangama; Srinivasan, Hema Mixed multiplicities of filtrations. (English) Zbl 1428.13040 Trans. Am. Math. Soc. 372, No. 9, 6183-6211 (2019). Reviewer: Tadeusz Krasiński (Łódź) MSC: 13H15 14C17 PDFBibTeX XMLCite \textit{S. D. Cutkosky} et al., Trans. Am. Math. Soc. 372, No. 9, 6183--6211 (2019; Zbl 1428.13040) Full Text: DOI arXiv
Botero, Ana M. Canonical decomposition of a difference of convex sets. (English) Zbl 1420.52005 Algebr. Comb. 2, No. 4, 585-602 (2019). MSC: 52A22 14M25 14C17 PDFBibTeX XMLCite \textit{A. M. Botero}, Algebr. Comb. 2, No. 4, 585--602 (2019; Zbl 1420.52005) Full Text: DOI arXiv
Botero, Ana María Intersection theory of toric \(b\)-divisors in toric varieties. (English) Zbl 1420.14117 J. Algebr. Geom. 28, No. 2, 291-338 (2019). Reviewer: Ignacio García Marco (San Cristóbal de La Laguna) MSC: 14M25 PDFBibTeX XMLCite \textit{A. M. Botero}, J. Algebr. Geom. 28, No. 2, 291--338 (2019; Zbl 1420.14117) Full Text: DOI arXiv
Li, Chi; Xu, Chenyang Stability of valuations: higher rational rank. (English) Zbl 1423.14262 Peking Math. J. 1, No. 1, 1-79 (2018). MSC: 14L24 14J10 14J45 14M25 14L30 PDFBibTeX XMLCite \textit{C. Li} and \textit{C. Xu}, Peking Math. J. 1, No. 1, 1--79 (2018; Zbl 1423.14262) Full Text: DOI arXiv
Hernández, Daniel J.; Jeffries, Jack Local Okounkov bodies and limits in prime characteristic. (English) Zbl 1405.13012 Math. Ann. 372, No. 1-2, 139-178 (2018). Reviewer: Janet Vassilev (Albuquerque) MSC: 13A35 13H15 13F30 PDFBibTeX XMLCite \textit{D. J. Hernández} and \textit{J. Jeffries}, Math. Ann. 372, No. 1--2, 139--178 (2018; Zbl 1405.13012) Full Text: DOI arXiv
Blum, Harold Existence of valuations with smallest normalized volume. (English) Zbl 1396.14007 Compos. Math. 154, No. 4, 820-849 (2018). Reviewer: Guillaume Rond (Marseille) MSC: 14B05 12J20 PDFBibTeX XMLCite \textit{H. Blum}, Compos. Math. 154, No. 4, 820--849 (2018; Zbl 1396.14007) Full Text: DOI arXiv
Kerner, Dmitry; Némethi, András Durfee-type bound for some non-degenerate complete intersection singularities. (English) Zbl 1364.32022 Math. Z. 285, No. 1-2, 159-175 (2017). MSC: 32S05 32S25 PDFBibTeX XMLCite \textit{D. Kerner} and \textit{A. Némethi}, Math. Z. 285, No. 1--2, 159--175 (2017; Zbl 1364.32022) Full Text: DOI arXiv Link
Kerner, Dmitry; Némethi, András A generalized FKG-inequality for compositions. (English) Zbl 1351.05222 J. Comb. Theory, Ser. A 146, 184-200 (2017). MSC: 05D40 05E10 52B99 PDFBibTeX XMLCite \textit{D. Kerner} and \textit{A. Némethi}, J. Comb. Theory, Ser. A 146, 184--200 (2017; Zbl 1351.05222) Full Text: DOI arXiv
Binyamini, Gal; Novikov, Dmitry Multiplicity operators. (English) Zbl 1336.32010 Isr. J. Math. 210, 101-124 (2015). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 32B05 32S05 14C17 PDFBibTeX XMLCite \textit{G. Binyamini} and \textit{D. Novikov}, Isr. J. Math. 210, 101--124 (2015; Zbl 1336.32010) Full Text: DOI arXiv
Cutkosky, Steven Dale Asymptotic multiplicities. (English) Zbl 1408.13063 J. Algebra 442, 260-298 (2015). MSC: 13H15 PDFBibTeX XMLCite \textit{S. D. Cutkosky}, J. Algebra 442, 260--298 (2015; Zbl 1408.13063) Full Text: DOI arXiv
Kaveh, Kiumars; Khovanskii, Askold Convex bodies and multiplicities of ideals. (English) Zbl 1315.13013 Proc. Steklov Inst. Math. 286, 268-284 (2014) and Tr. Mat. Inst. Steklova 286, 291-307 (2014). Reviewer: Marcel Morales (Saint-Martin-d’Hères) MSC: 13A18 13D40 13F55 14M25 13D10 PDFBibTeX XMLCite \textit{K. Kaveh} and \textit{A. Khovanskii}, Proc. Steklov Inst. Math. 286, 268--284 (2014; Zbl 1315.13013) Full Text: DOI arXiv
Khovanskiĭ, Askold; Timorin, Vladlen On the theory of coconvex bodies. (English) Zbl 1397.52003 Discrete Comput. Geom. 52, No. 4, 806-823 (2014). Reviewer: Andreas Hochenegger (Köln) MSC: 52A20 14M25 52B45 52A39 PDFBibTeX XMLCite \textit{A. Khovanskiĭ} and \textit{V. Timorin}, Discrete Comput. Geom. 52, No. 4, 806--823 (2014; Zbl 1397.52003) Full Text: DOI arXiv
Jow, Shin-Yao Okounkov bodies and restricted volumes along very general curves. (English) Zbl 1187.14012 Adv. Math. 223, No. 4, 1356-1371 (2010). Reviewer: Roberto Munoz (Madrid) MSC: 14C20 PDFBibTeX XMLCite \textit{S.-Y. Jow}, Adv. Math. 223, No. 4, 1356--1371 (2010; Zbl 1187.14012) Full Text: DOI arXiv