scholarly journals The modified diagonal cycle on the triple product of a pointed curve

1995 ◽  
Vol 45 (3) ◽  
pp. 649-679 ◽  
Author(s):  
Benedict H. Gross ◽  
Chad Schoen
Keyword(s):  
1970 ◽  
Vol 11 (47) ◽  
pp. 4075-4078 ◽  
Author(s):  
K. Zechmeister ◽  
F. Brandl ◽  
W. Hoppe ◽  
E. Hecker ◽  
H.J. Opferkuch ◽  
...  

2004 ◽  
Vol 32 (4) ◽  
pp. 801-824 ◽  
Author(s):  
Krishnaswami Alladi ◽  
Alexander Berkovich
Keyword(s):  

2011 ◽  
Vol 309-310 ◽  
pp. 73-78 ◽  
Author(s):  
Alexey Rodin ◽  
Nikolai Dolgopolov ◽  
Andrei Simanov ◽  
Alla Zaytseva

The diffusion of Cu in Al and Al based alloys was studied. It was shown the great scattering of triple product values, measured for different grain boundaries (GB) at the same samples. It was discussed in the terms of GB energy difference. It was also shown that GB triple product can be varied significantly by preliminary alloying of Al by 0.1% Cu. However, the alloying of Al by 0.5% Cu leads to disappearing of the effect of accelerated diffusion in GB in comparison with the bulk.


2014 ◽  
Vol 214 ◽  
pp. 53-77 ◽  
Author(s):  
Robin De Jong

AbstractWe prove a variant of a formula due to Zhang relating the Beilinson– Bloch height of the Gross–Schoen cycle on a pointed curve with the self-intersection of its relative dualizing sheaf. In our approach, the height of the Gross–Schoen cycle occurs as the degree of a suitable Bloch line bundle. We show that the Chern form of this line bundle is nonnegative, and we calculate its class in the Picard group of the moduli space of pointed stable curves of compact type. The basic tools are normal functions and biextensions associated to the cohomology of the universal Jacobian.


2015 ◽  
Vol 56 (8) ◽  
pp. 083506 ◽  
Author(s):  
Xiao-Yu Jia ◽  
Shao-Kui Yao ◽  
Ke Wu ◽  
Wei-Zhong Zhao

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