Papers

Papers

Published or Accepted Papers

1. Watanabe, Kiwamu, Quadratic varieties of small codimension, [arXiv], to appear in SIGMA. 

2. Watanabe, Kiwamu, Fano varieties of middle pseudoindex, Manuscripta Math. 175 (2024), no. 3-4, 1053–1061, [arXiv].

3. Takahashi, Yuta; Watanabe, Kiwamu;  Fano 4-folds with nef tangent bundle in positive characteristic. Comm. Algebra 52 (2024), no. 7, 2750–2759. [Article], [arXiv].     

4. Watanabe, Kiwamu; Positivity of the exterior power of the tangent bundles. Proc. Japan Acad. Ser. A Math. Sci. 99 (2023), no. 10, 77–80. [Article], [arXiv].       

5. Kanemitsu, Akihiro; Watanabe, Kiwamu Projective varieties with nef tangent bundle in positive characteristic. Compos. Math. 159 (2023), no. 9, 1974–1999. [Article],  [arXiv].

6. Watanabe, Kiwamu;  Positivity of the second exterior power of the tangent bundles. Adv. Math. 385 (2021), 107757. [Article] , [arXiv].  

7. Watanabe, Kiwamu; Fano manifolds of coindex three admitting nef tangent bundle. Geom. Dedicata 210 (2021), 165–178. [Article], [arXiv].

8. Suzuki, Taku; Watanabe, Kiwamu;  Varieties with nef diagonal. Internat. J. Math.31 (2020), no. 2, 2050011, 21 pp. [arXiv].

9. Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu Correction to: A characterization of symplectic Grassmannians. Math. Z. 292 (2019), no. 1-2, 569–570.

10. Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu Characterizing the homogeneous variety F4(4). Math. Nachr. 291 (2018), no. 14-15, 2334-2346.

11. Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu; Wisniewski, Jaroslaw A. Fano manifolds whose elementary contractions are smooth P1-fibrations: a geometric characterization of flag varieties. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 17 (2017), no. 2, 573-607.

12. Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu;  A characterization of symplectic Grassmannians. Math. Z. 286 (2017), no. 3-4, 1421-1433 [Online].

13. Watanabe, Kiwamu;  Low-dimensional projective manifolds with nef tangent bundle in positive characteristic. Comm. Algebra 45 (2017), no. 9, 3768-3777 [Online].

14. Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu;  Uniform families of minimal rational curves on Fano manifolds. Rev. Mat. Complut. 29 (2016), no. 2, 423-437 [Online]. 

15. Munoz, Roberto; Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu; Wisniewski, Jaroslaw A. A survey on the Campana-Peternell conjecture. Rend. Istit. Mat. Univ. Trieste 47 (2015), 127-185 [Online]. 

16. Watanabe, Kiwamu;  Fano manifolds with nef tangent bundle and large Picard number. Proc. Japan Acad. Ser. A Math. Sci. 91 (2015), no. 6, 89-94 [Online].

17. Munoz, Roberto; Occhetta, Gianluca; Sola Conde, Luis E.; Watanabe, Kiwamu Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle. Math. Ann. 361 (2015), no. 3-4, 583-609 [Online].

18. Watanabe, Kiwamu P1-bundles admitting another smooth morphism of relative dimension one. J. Algebra 414 (2014), 105-119 [Online]. 

19. Watanabe, Kiwamu Fano 5-folds with nef tangent bundles and Picard numbers greater than one. Math. Z. 276 (2014), no. 1-2, 39-49. [Online].      

20. Watanabe, Kiwamu On projective manifolds swept out by cubic varieties. Internat. J. Math. 23 (2012),no. 7, 1250058, 22 pp.  [Online].

21. Watanabe, Kiwamu Classification of embedded projective manifolds swept out by rational homogeneous varieties of codimension one. Pacific J. Math. 252 (2011), no. 2, 493-498. [Online]. 

22. Watanabe, Kiwamu A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1. J. Algebra 337 (2011), 224-232.  [Online].

23. Watanabe, Kiwamu Lengths of chains of minimal rational curves on Fano manifolds. J. Algebra 325(2011), 163-176. [Online].

24. Watanabe, Kiwamu Actions of linear algebraic groups of exceptional type on projective varieties. Pacific J. Math. 239 (2009), no. 2, 391-395. [Online].

25. Watanabe, Kiwamu Classification of polarized manifolds admitting homogeneous varieties as ample divisors. Math. Ann. 342 (2008), no. 3, 557-563. [Online].

Preprints

1. Watanabe, Kiwamu, Extremal contractions and non-free rational curves on Fano varieties,  September 8th, 2024,  [arXiv], submitted.

2. Watanabe, Kiwamu, Fano varieties with pseudoindex equal to half of their dimension, Nov. 4th, 2024, [arXiv], submitted. 
    

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